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Finding the Fourth Proportional to 283,731, 391,551.48 and 156,411.16

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Solution

The fourth proportional to 283,731, 391,551.48 and 156,411.16 is: 215,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,731 : 391,551.48 = 156,411.16 : x
  2. Step 2: Convert to fraction form
    283,731/391,551.48 = 156,411.16/x
  3. Step 3: Cross multiply
    283,731x = 391,551.48 × 156,411.16
  4. Step 4: Simplify right side
    283,731x = 61,243,021,186.52
  5. Step 5: Solve for x
    x = 61,243,021,186.52/283,731
  6. Step 6: Final answer
    x = 215,848.89

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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.