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Finding the Fourth Proportional to 586,688,681.80, 878,689,329.90 and 299,138,422.60

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Solution

The fourth proportional to 586,688,681.80, 878,689,329.90 and 299,138,422.60 is: 448,022,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,688,681.80 : 878,689,329.90 = 299,138,422.60 : x
  2. Step 2: Convert to fraction form
    586,688,681.80/878,689,329.90 = 299,138,422.60/x
  3. Step 3: Cross multiply
    586,688,681.80x = 878,689,329.90 × 299,138,422.60
  4. Step 4: Simplify right side
    586,688,681.80x = 262,849,740,101,737,024
  5. Step 5: Solve for x
    x = 262,849,740,101,737,024/586,688,681.80
  6. Step 6: Final answer
    x = 448,022,517.32

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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.