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Finding the Fourth Proportional to 472,830.67, 652,508.49 and 257,975.20

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Solution

The fourth proportional to 472,830.67, 652,508.49 and 257,975.20 is: 356,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,830.67 : 652,508.49 = 257,975.20 : x
  2. Step 2: Convert to fraction form
    472,830.67/652,508.49 = 257,975.20/x
  3. Step 3: Cross multiply
    472,830.67x = 652,508.49 × 257,975.20
  4. Step 4: Simplify right side
    472,830.67x = 168,331,008,209.45
  5. Step 5: Solve for x
    x = 168,331,008,209.45/472,830.67
  6. Step 6: Final answer
    x = 356,006.96

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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.