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Finding the Fourth Proportional to 652,765.68, 978,215.40 and 371,702.16

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Solution

The fourth proportional to 652,765.68, 978,215.40 and 371,702.16 is: 557,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,765.68 : 978,215.40 = 371,702.16 : x
  2. Step 2: Convert to fraction form
    652,765.68/978,215.40 = 371,702.16/x
  3. Step 3: Cross multiply
    652,765.68x = 978,215.40 × 371,702.16
  4. Step 4: Simplify right side
    652,765.68x = 363,604,777,125.26
  5. Step 5: Solve for x
    x = 363,604,777,125.26/652,765.68
  6. Step 6: Final answer
    x = 557,021.90

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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.