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Finding the Fourth Proportional to 283,700.83, 391,509.03 and 156,376.54

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Solution

The fourth proportional to 283,700.83, 391,509.03 and 156,376.54 is: 215,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,700.83 : 391,509.03 = 156,376.54 : x
  2. Step 2: Convert to fraction form
    283,700.83/391,509.03 = 156,376.54/x
  3. Step 3: Cross multiply
    283,700.83x = 391,509.03 × 156,376.54
  4. Step 4: Simplify right side
    283,700.83x = 61,222,827,490.16
  5. Step 5: Solve for x
    x = 61,222,827,490.16/283,700.83
  6. Step 6: Final answer
    x = 215,800.66

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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.