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Finding the Fourth Proportional to 716,648.88, 989,016.28 and 410,776.13

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Solution

The fourth proportional to 716,648.88, 989,016.28 and 410,776.13 is: 566,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,648.88 : 989,016.28 = 410,776.13 : x
  2. Step 2: Convert to fraction form
    716,648.88/989,016.28 = 410,776.13/x
  3. Step 3: Cross multiply
    716,648.88x = 989,016.28 × 410,776.13
  4. Step 4: Simplify right side
    716,648.88x = 406,264,275,887.78
  5. Step 5: Solve for x
    x = 406,264,275,887.78/716,648.88
  6. Step 6: Final answer
    x = 566,894.45

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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.