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Finding the Fourth Proportional to 283,814.52, 391,664 and 156,492.76

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Solution

The fourth proportional to 283,814.52, 391,664 and 156,492.76 is: 215,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,814.52 : 391,664 = 156,492.76 : x
  2. Step 2: Convert to fraction form
    283,814.52/391,664 = 156,492.76/x
  3. Step 3: Cross multiply
    283,814.52x = 391,664 × 156,492.76
  4. Step 4: Simplify right side
    283,814.52x = 61,292,580,352.64
  5. Step 5: Solve for x
    x = 61,292,580,352.64/283,814.52
  6. Step 6: Final answer
    x = 215,959.99

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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.