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Finding the Fourth Proportional to 206,688,294.80, 310,032,442.20 and 137,813,541.20

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Solution

The fourth proportional to 206,688,294.80, 310,032,442.20 and 137,813,541.20 is: 206,720,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,688,294.80 : 310,032,442.20 = 137,813,541.20 : x
  2. Step 2: Convert to fraction form
    206,688,294.80/310,032,442.20 = 137,813,541.20/x
  3. Step 3: Cross multiply
    206,688,294.80x = 310,032,442.20 × 137,813,541.20
  4. Step 4: Simplify right side
    206,688,294.80x = 42,726,668,746,466,312
  5. Step 5: Solve for x
    x = 42,726,668,746,466,312/206,688,294.80
  6. Step 6: Final answer
    x = 206,720,311.80

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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.