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Finding the Fourth Proportional to 513,353.12, 708,458.28 and 287,000.24

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Solution

The fourth proportional to 513,353.12, 708,458.28 and 287,000.24 is: 396,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,353.12 : 708,458.28 = 287,000.24 : x
  2. Step 2: Convert to fraction form
    513,353.12/708,458.28 = 287,000.24/x
  3. Step 3: Cross multiply
    513,353.12x = 708,458.28 × 287,000.24
  4. Step 4: Simplify right side
    513,353.12x = 203,327,696,389.99
  5. Step 5: Solve for x
    x = 203,327,696,389.99/513,353.12
  6. Step 6: Final answer
    x = 396,077.65

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1.5x scale

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.