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Finding the Fourth Proportional to 522,488,494.68, 721,033,910.73 and 287,539,154.34

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Solution

The fourth proportional to 522,488,494.68, 721,033,910.73 and 287,539,154.34 is: 396,803,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,488,494.68 : 721,033,910.73 = 287,539,154.34 : x
  2. Step 2: Convert to fraction form
    522,488,494.68/721,033,910.73 = 287,539,154.34/x
  3. Step 3: Cross multiply
    522,488,494.68x = 721,033,910.73 × 287,539,154.34
  4. Step 4: Simplify right side
    522,488,494.68x = 207,325,480,941,767,232
  5. Step 5: Solve for x
    x = 207,325,480,941,767,232/522,488,494.68
  6. Step 6: Final answer
    x = 396,803,916.36

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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.