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Finding the Fourth Proportional to 716,446.99, 988,838.13 and 410,728.60

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Solution

The fourth proportional to 716,446.99, 988,838.13 and 410,728.60 is: 566,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,446.99 : 988,838.13 = 410,728.60 : x
  2. Step 2: Convert to fraction form
    716,446.99/988,838.13 = 410,728.60/x
  3. Step 3: Cross multiply
    716,446.99x = 988,838.13 × 410,728.60
  4. Step 4: Simplify right side
    716,446.99x = 406,144,100,761.52
  5. Step 5: Solve for x
    x = 406,144,100,761.52/716,446.99
  6. Step 6: Final answer
    x = 566,886.46

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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.