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Finding the Fourth Proportional to 647,472.48, 971,488.62 and 347,602.92

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Solution

The fourth proportional to 647,472.48, 971,488.62 and 347,602.92 is: 521,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,472.48 : 971,488.62 = 347,602.92 : x
  2. Step 2: Convert to fraction form
    647,472.48/971,488.62 = 347,602.92/x
  3. Step 3: Cross multiply
    647,472.48x = 971,488.62 × 347,602.92
  4. Step 4: Simplify right side
    647,472.48x = 337,692,281,058.77
  5. Step 5: Solve for x
    x = 337,692,281,058.77/647,472.48
  6. Step 6: Final answer
    x = 521,554.65

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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.