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Finding the Fourth Proportional to 257,572.92, 385,827.54 and 191,088.12

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Solution

The fourth proportional to 257,572.92, 385,827.54 and 191,088.12 is: 286,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,572.92 : 385,827.54 = 191,088.12 : x
  2. Step 2: Convert to fraction form
    257,572.92/385,827.54 = 191,088.12/x
  3. Step 3: Cross multiply
    257,572.92x = 385,827.54 × 191,088.12
  4. Step 4: Simplify right side
    257,572.92x = 73,727,059,262.82
  5. Step 5: Solve for x
    x = 73,727,059,262.82/257,572.92
  6. Step 6: Final answer
    x = 286,237.62

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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.