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Finding the Fourth Proportional to 284,005.46, 391,927.52 and 156,681.06

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Solution

The fourth proportional to 284,005.46, 391,927.52 and 156,681.06 is: 216,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,005.46 : 391,927.52 = 156,681.06 : x
  2. Step 2: Convert to fraction form
    284,005.46/391,927.52 = 156,681.06/x
  3. Step 3: Cross multiply
    284,005.46x = 391,927.52 × 156,681.06
  4. Step 4: Simplify right side
    284,005.46x = 61,407,619,276.77
  5. Step 5: Solve for x
    x = 61,407,619,276.77/284,005.46
  6. Step 6: Final answer
    x = 216,219.85

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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.