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Finding the Fourth Proportional to 704,214.88, 971,801.55 and 398,250.96

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Solution

The fourth proportional to 704,214.88, 971,801.55 and 398,250.96 is: 549,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,214.88 : 971,801.55 = 398,250.96 : x
  2. Step 2: Convert to fraction form
    704,214.88/971,801.55 = 398,250.96/x
  3. Step 3: Cross multiply
    704,214.88x = 971,801.55 × 398,250.96
  4. Step 4: Simplify right side
    704,214.88x = 387,020,900,216.99
  5. Step 5: Solve for x
    x = 387,020,900,216.99/704,214.88
  6. Step 6: Final answer
    x = 549,577.85

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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.