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Finding the Fourth Proportional to 513,650.35, 709,002.08 and 360,725.59

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Solution

The fourth proportional to 513,650.35, 709,002.08 and 360,725.59 is: 497,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,650.35 : 709,002.08 = 360,725.59 : x
  2. Step 2: Convert to fraction form
    513,650.35/709,002.08 = 360,725.59/x
  3. Step 3: Cross multiply
    513,650.35x = 709,002.08 × 360,725.59
  4. Step 4: Simplify right side
    513,650.35x = 255,755,193,619.23
  5. Step 5: Solve for x
    x = 255,755,193,619.23/513,650.35
  6. Step 6: Final answer
    x = 497,916.91

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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.