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Finding the Fourth Proportional to 703,952.64, 971,442.72 and 398,024.28

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Solution

The fourth proportional to 703,952.64, 971,442.72 and 398,024.28 is: 549,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,952.64 : 971,442.72 = 398,024.28 : x
  2. Step 2: Convert to fraction form
    703,952.64/971,442.72 = 398,024.28/x
  3. Step 3: Cross multiply
    703,952.64x = 971,442.72 × 398,024.28
  4. Step 4: Simplify right side
    703,952.64x = 386,657,789,189.24
  5. Step 5: Solve for x
    x = 386,657,789,189.24/703,952.64
  6. Step 6: Final answer
    x = 549,266.76

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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.