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Finding the Fourth Proportional to 587,434.47, 810,598.65 and 345,702.63

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Solution

The fourth proportional to 587,434.47, 810,598.65 and 345,702.63 is: 477,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,434.47 : 810,598.65 = 345,702.63 : x
  2. Step 2: Convert to fraction form
    587,434.47/810,598.65 = 345,702.63/x
  3. Step 3: Cross multiply
    587,434.47x = 810,598.65 × 345,702.63
  4. Step 4: Simplify right side
    587,434.47x = 280,226,085,179.45
  5. Step 5: Solve for x
    x = 280,226,085,179.45/587,434.47
  6. Step 6: Final answer
    x = 477,033.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.