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Finding the Fourth Proportional to 462,814.89, 638,717.25 and 258,884.90

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Solution

The fourth proportional to 462,814.89, 638,717.25 and 258,884.90 is: 357,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,814.89 : 638,717.25 = 258,884.90 : x
  2. Step 2: Convert to fraction form
    462,814.89/638,717.25 = 258,884.90/x
  3. Step 3: Cross multiply
    462,814.89x = 638,717.25 × 258,884.90
  4. Step 4: Simplify right side
    462,814.89x = 165,354,248,200.94
  5. Step 5: Solve for x
    x = 165,354,248,200.94/462,814.89
  6. Step 6: Final answer
    x = 357,279.45

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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.