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Finding the Fourth Proportional to 396,017.80, 592,607.64 and 342,893

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Solution

The fourth proportional to 396,017.80, 592,607.64 and 342,893 is: 513,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,017.80 : 592,607.64 = 342,893 : x
  2. Step 2: Convert to fraction form
    396,017.80/592,607.64 = 342,893/x
  3. Step 3: Cross multiply
    396,017.80x = 592,607.64 × 342,893
  4. Step 4: Simplify right side
    396,017.80x = 203,201,011,502.52
  5. Step 5: Solve for x
    x = 203,201,011,502.52/396,017.80
  6. Step 6: Final answer
    x = 513,110.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.