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Finding the Fourth Proportional to 652,006.40, 976,843.20 and 402,396.80

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Solution

The fourth proportional to 652,006.40, 976,843.20 and 402,396.80 is: 602,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,006.40 : 976,843.20 = 402,396.80 : x
  2. Step 2: Convert to fraction form
    652,006.40/976,843.20 = 402,396.80/x
  3. Step 3: Cross multiply
    652,006.40x = 976,843.20 × 402,396.80
  4. Step 4: Simplify right side
    652,006.40x = 393,078,577,781.76
  5. Step 5: Solve for x
    x = 393,078,577,781.76/652,006.40
  6. Step 6: Final answer
    x = 602,875.34

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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.