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Finding the Fourth Proportional to 284,061.04, 392,006.64 and 156,745.12

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Solution

The fourth proportional to 284,061.04, 392,006.64 and 156,745.12 is: 216,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,061.04 : 392,006.64 = 156,745.12 : x
  2. Step 2: Convert to fraction form
    284,061.04/392,006.64 = 156,745.12/x
  3. Step 3: Cross multiply
    284,061.04x = 392,006.64 × 156,745.12
  4. Step 4: Simplify right side
    284,061.04x = 61,445,127,827.60
  5. Step 5: Solve for x
    x = 61,445,127,827.60/284,061.04
  6. Step 6: Final answer
    x = 216,309.59

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1.5x scale

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.