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Finding the Fourth Proportional to 970,805.17, 1,455,064.03 and 437,702.05

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Solution

The fourth proportional to 970,805.17, 1,455,064.03 and 437,702.05 is: 656,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,805.17 : 1,455,064.03 = 437,702.05 : x
  2. Step 2: Convert to fraction form
    970,805.17/1,455,064.03 = 437,702.05/x
  3. Step 3: Cross multiply
    970,805.17x = 1,455,064.03 × 437,702.05
  4. Step 4: Simplify right side
    970,805.17x = 636,884,508,812.26
  5. Step 5: Solve for x
    x = 636,884,508,812.26/970,805.17
  6. Step 6: Final answer
    x = 656,037.41

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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.