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Finding the Fourth Proportional to 538,700.32, 808,288.52 and 282,471.72

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Solution

The fourth proportional to 538,700.32, 808,288.52 and 282,471.72 is: 423,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,700.32 : 808,288.52 = 282,471.72 : x
  2. Step 2: Convert to fraction form
    538,700.32/808,288.52 = 282,471.72/x
  3. Step 3: Cross multiply
    538,700.32x = 808,288.52 × 282,471.72
  4. Step 4: Simplify right side
    538,700.32x = 228,318,648,500.65
  5. Step 5: Solve for x
    x = 228,318,648,500.65/538,700.32
  6. Step 6: Final answer
    x = 423,832.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.