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Finding the Fourth Proportional to 515,041.50, 710,779.14 and 288,687

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Solution

The fourth proportional to 515,041.50, 710,779.14 and 288,687 is: 398,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,041.50 : 710,779.14 = 288,687 : x
  2. Step 2: Convert to fraction form
    515,041.50/710,779.14 = 288,687/x
  3. Step 3: Cross multiply
    515,041.50x = 710,779.14 × 288,687
  4. Step 4: Simplify right side
    515,041.50x = 205,192,697,589.18
  5. Step 5: Solve for x
    x = 205,192,697,589.18/515,041.50
  6. Step 6: Final answer
    x = 398,400.32

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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.