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Finding the Fourth Proportional to 704,215, 971,866.92 and 398,294.20

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Solution

The fourth proportional to 704,215, 971,866.92 and 398,294.20 is: 549,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,215 : 971,866.92 = 398,294.20 : x
  2. Step 2: Convert to fraction form
    704,215/971,866.92 = 398,294.20/x
  3. Step 3: Cross multiply
    704,215x = 971,866.92 × 398,294.20
  4. Step 4: Simplify right side
    704,215x = 387,088,957,407.86
  5. Step 5: Solve for x
    x = 387,088,957,407.86/704,215
  6. Step 6: Final answer
    x = 549,674.40

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1.5x scale

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.