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Finding the Fourth Proportional to 513,649.35, 709,000.70 and 360,724.59

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Solution

The fourth proportional to 513,649.35, 709,000.70 and 360,724.59 is: 497,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,649.35 : 709,000.70 = 360,724.59 : x
  2. Step 2: Convert to fraction form
    513,649.35/709,000.70 = 360,724.59/x
  3. Step 3: Cross multiply
    513,649.35x = 709,000.70 × 360,724.59
  4. Step 4: Simplify right side
    513,649.35x = 255,753,985,013.59
  5. Step 5: Solve for x
    x = 255,753,985,013.59/513,649.35
  6. Step 6: Final answer
    x = 497,915.52

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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.