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Finding the Fourth Proportional to 284,061.74, 392,013.35 and 156,745.53

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Solution

The fourth proportional to 284,061.74, 392,013.35 and 156,745.53 is: 216,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,061.74 : 392,013.35 = 156,745.53 : x
  2. Step 2: Convert to fraction form
    284,061.74/392,013.35 = 156,745.53/x
  3. Step 3: Cross multiply
    284,061.74x = 392,013.35 × 156,745.53
  4. Step 4: Simplify right side
    284,061.74x = 61,446,340,312.83
  5. Step 5: Solve for x
    x = 61,446,340,312.83/284,061.74
  6. Step 6: Final answer
    x = 216,313.33

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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.