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Finding the Fourth Proportional to 808,454,632.20, 1,212,681,948.30 and 785,779,816.20

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Solution

The fourth proportional to 808,454,632.20, 1,212,681,948.30 and 785,779,816.20 is: 1,178,669,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,454,632.20 : 1,212,681,948.30 = 785,779,816.20 : x
  2. Step 2: Convert to fraction form
    808,454,632.20/1,212,681,948.30 = 785,779,816.20/x
  3. Step 3: Cross multiply
    808,454,632.20x = 1,212,681,948.30 × 785,779,816.20
  4. Step 4: Simplify right side
    808,454,632.20x = 952,900,998,444,231,936
  5. Step 5: Solve for x
    x = 952,900,998,444,231,936/808,454,632.20
  6. Step 6: Final answer
    x = 1,178,669,724.30

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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.