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Finding the Fourth Proportional to 284,732.37, 392,938.86 and 157,416.16

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Solution

The fourth proportional to 284,732.37, 392,938.86 and 157,416.16 is: 217,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,732.37 : 392,938.86 = 157,416.16 : x
  2. Step 2: Convert to fraction form
    284,732.37/392,938.86 = 157,416.16/x
  3. Step 3: Cross multiply
    284,732.37x = 392,938.86 × 157,416.16
  4. Step 4: Simplify right side
    284,732.37x = 61,854,926,849.52
  5. Step 5: Solve for x
    x = 61,854,926,849.52/284,732.37
  6. Step 6: Final answer
    x = 217,238.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.