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Finding the Fourth Proportional to 708,516,447.57, 977,947,171.20 and 411,254,458.20

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Solution

The fourth proportional to 708,516,447.57, 977,947,171.20 and 411,254,458.20 is: 567,644,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,516,447.57 : 977,947,171.20 = 411,254,458.20 : x
  2. Step 2: Convert to fraction form
    708,516,447.57/977,947,171.20 = 411,254,458.20/x
  3. Step 3: Cross multiply
    708,516,447.57x = 977,947,171.20 × 411,254,458.20
  4. Step 4: Simplify right side
    708,516,447.57x = 402,185,134,040,078,656
  5. Step 5: Solve for x
    x = 402,185,134,040,078,656/708,516,447.57
  6. Step 6: Final answer
    x = 567,644,033.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.