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Finding the Fourth Proportional to 706,443.42, 974,862.24 and 400,540.38

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Solution

The fourth proportional to 706,443.42, 974,862.24 and 400,540.38 is: 552,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,443.42 : 974,862.24 = 400,540.38 : x
  2. Step 2: Convert to fraction form
    706,443.42/974,862.24 = 400,540.38/x
  3. Step 3: Cross multiply
    706,443.42x = 974,862.24 × 400,540.38
  4. Step 4: Simplify right side
    706,443.42x = 390,471,692,057.25
  5. Step 5: Solve for x
    x = 390,471,692,057.25/706,443.42
  6. Step 6: Final answer
    x = 552,728.90

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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.