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Finding the Fourth Proportional to 712,638.08, 981,780 and 497,398.40

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Solution

The fourth proportional to 712,638.08, 981,780 and 497,398.40 is: 685,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,638.08 : 981,780 = 497,398.40 : x
  2. Step 2: Convert to fraction form
    712,638.08/981,780 = 497,398.40/x
  3. Step 3: Cross multiply
    712,638.08x = 981,780 × 497,398.40
  4. Step 4: Simplify right side
    712,638.08x = 488,335,801,152
  5. Step 5: Solve for x
    x = 488,335,801,152/712,638.08
  6. Step 6: Final answer
    x = 685,250.78

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1.5x scale

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.