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Finding the Fourth Proportional to 716,650.88, 989,019.04 and 410,778.13

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Solution

The fourth proportional to 716,650.88, 989,019.04 and 410,778.13 is: 566,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,650.88 : 989,019.04 = 410,778.13 : x
  2. Step 2: Convert to fraction form
    716,650.88/989,019.04 = 410,778.13/x
  3. Step 3: Cross multiply
    716,650.88x = 989,019.04 × 410,778.13
  4. Step 4: Simplify right side
    716,650.88x = 406,267,391,785.60
  5. Step 5: Solve for x
    x = 406,267,391,785.60/716,650.88
  6. Step 6: Final answer
    x = 566,897.22

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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.