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Finding the Fourth Proportional to 652,021.40, 976,865.70 and 402,411.80

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Solution

The fourth proportional to 652,021.40, 976,865.70 and 402,411.80 is: 602,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,021.40 : 976,865.70 = 402,411.80 : x
  2. Step 2: Convert to fraction form
    652,021.40/976,865.70 = 402,411.80/x
  3. Step 3: Cross multiply
    652,021.40x = 976,865.70 × 402,411.80
  4. Step 4: Simplify right side
    652,021.40x = 393,102,284,695.26
  5. Step 5: Solve for x
    x = 393,102,284,695.26/652,021.40
  6. Step 6: Final answer
    x = 602,897.83

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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.