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Finding the Fourth Proportional to 716,398.32, 988,520.04 and 414,534

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Solution

The fourth proportional to 716,398.32, 988,520.04 and 414,534 is: 571,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,398.32 : 988,520.04 = 414,534 : x
  2. Step 2: Convert to fraction form
    716,398.32/988,520.04 = 414,534/x
  3. Step 3: Cross multiply
    716,398.32x = 988,520.04 × 414,534
  4. Step 4: Simplify right side
    716,398.32x = 409,775,166,261.36
  5. Step 5: Solve for x
    x = 409,775,166,261.36/716,398.32
  6. Step 6: Final answer
    x = 571,993.48

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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.