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Finding the Fourth Proportional to 808,645,356.60, 1,212,968,034.90 and 776,900,614.20

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Solution

The fourth proportional to 808,645,356.60, 1,212,968,034.90 and 776,900,614.20 is: 1,165,350,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,645,356.60 : 1,212,968,034.90 = 776,900,614.20 : x
  2. Step 2: Convert to fraction form
    808,645,356.60/1,212,968,034.90 = 776,900,614.20/x
  3. Step 3: Cross multiply
    808,645,356.60x = 1,212,968,034.90 × 776,900,614.20
  4. Step 4: Simplify right side
    808,645,356.60x = 942,355,611,318,777,216
  5. Step 5: Solve for x
    x = 942,355,611,318,777,216/808,645,356.60
  6. Step 6: Final answer
    x = 1,165,350,921.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.