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Finding the Fourth Proportional to 284,435.67, 392,513.73 and 157,108.53

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Solution

The fourth proportional to 284,435.67, 392,513.73 and 157,108.53 is: 216,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,435.67 : 392,513.73 = 157,108.53 : x
  2. Step 2: Convert to fraction form
    284,435.67/392,513.73 = 157,108.53/x
  3. Step 3: Cross multiply
    284,435.67x = 392,513.73 × 157,108.53
  4. Step 4: Simplify right side
    284,435.67x = 61,667,255,125.12
  5. Step 5: Solve for x
    x = 61,667,255,125.12/284,435.67
  6. Step 6: Final answer
    x = 216,805.63

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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.