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Finding the Fourth Proportional to 513,765.18, 708,997.95 and 287,410.86

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Solution

The fourth proportional to 513,765.18, 708,997.95 and 287,410.86 is: 396,628.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,765.18 : 708,997.95 = 287,410.86 : x
  2. Step 2: Convert to fraction form
    513,765.18/708,997.95 = 287,410.86/x
  3. Step 3: Cross multiply
    513,765.18x = 708,997.95 × 287,410.86
  4. Step 4: Simplify right side
    513,765.18x = 203,773,710,547.74
  5. Step 5: Solve for x
    x = 203,773,710,547.74/513,765.18
  6. Step 6: Final answer
    x = 396,628.11

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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.