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Finding the Fourth Proportional to 805,796,905.60, 1,208,695,358.40 and 560,908,892.80

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Solution

The fourth proportional to 805,796,905.60, 1,208,695,358.40 and 560,908,892.80 is: 841,363,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,796,905.60 : 1,208,695,358.40 = 560,908,892.80 : x
  2. Step 2: Convert to fraction form
    805,796,905.60/1,208,695,358.40 = 560,908,892.80/x
  3. Step 3: Cross multiply
    805,796,905.60x = 1,208,695,358.40 × 560,908,892.80
  4. Step 4: Simplify right side
    805,796,905.60x = 677,967,975,212,643,200
  5. Step 5: Solve for x
    x = 677,967,975,212,643,200/805,796,905.60
  6. Step 6: Final answer
    x = 841,363,339.20

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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.