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Finding the Fourth Proportional to 522,730,138.35, 721,341,643.35 and 287,775,754.28

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Solution

The fourth proportional to 522,730,138.35, 721,341,643.35 and 287,775,754.28 is: 397,116,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,730,138.35 : 721,341,643.35 = 287,775,754.28 : x
  2. Step 2: Convert to fraction form
    522,730,138.35/721,341,643.35 = 287,775,754.28/x
  3. Step 3: Cross multiply
    522,730,138.35x = 721,341,643.35 × 287,775,754.28
  4. Step 4: Simplify right side
    522,730,138.35x = 207,584,635,508,620,992
  5. Step 5: Solve for x
    x = 207,584,635,508,620,992/522,730,138.35
  6. Step 6: Final answer
    x = 397,116,256.13

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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.