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Finding the Fourth Proportional to 704,258.10, 971,898.17 and 398,328.49

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Solution

The fourth proportional to 704,258.10, 971,898.17 and 398,328.49 is: 549,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,258.10 : 971,898.17 = 398,328.49 : x
  2. Step 2: Convert to fraction form
    704,258.10/971,898.17 = 398,328.49/x
  3. Step 3: Cross multiply
    704,258.10x = 971,898.17 × 398,328.49
  4. Step 4: Simplify right side
    704,258.10x = 387,134,730,489.86
  5. Step 5: Solve for x
    x = 387,134,730,489.86/704,258.10
  6. Step 6: Final answer
    x = 549,705.75

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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.