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Finding the Fourth Proportional to 478,658.31, 660,717.65 and 427,582.34

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Solution

The fourth proportional to 478,658.31, 660,717.65 and 427,582.34 is: 590,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,658.31 : 660,717.65 = 427,582.34 : x
  2. Step 2: Convert to fraction form
    478,658.31/660,717.65 = 427,582.34/x
  3. Step 3: Cross multiply
    478,658.31x = 660,717.65 × 427,582.34
  4. Step 4: Simplify right side
    478,658.31x = 282,511,193,424.80
  5. Step 5: Solve for x
    x = 282,511,193,424.80/478,658.31
  6. Step 6: Final answer
    x = 590,214.75

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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.