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Finding the Fourth Proportional to 515,978.78, 712,387.95 and 335,205.91

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Solution

The fourth proportional to 515,978.78, 712,387.95 and 335,205.91 is: 462,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,978.78 : 712,387.95 = 335,205.91 : x
  2. Step 2: Convert to fraction form
    515,978.78/712,387.95 = 335,205.91/x
  3. Step 3: Cross multiply
    515,978.78x = 712,387.95 × 335,205.91
  4. Step 4: Simplify right side
    515,978.78x = 238,796,650,686.25
  5. Step 5: Solve for x
    x = 238,796,650,686.25/515,978.78
  6. Step 6: Final answer
    x = 462,803.24

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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.