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Finding the Fourth Proportional to 403,909.40, 605,864.10 and 341,701.40

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Solution

The fourth proportional to 403,909.40, 605,864.10 and 341,701.40 is: 512,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,909.40 : 605,864.10 = 341,701.40 : x
  2. Step 2: Convert to fraction form
    403,909.40/605,864.10 = 341,701.40/x
  3. Step 3: Cross multiply
    403,909.40x = 605,864.10 × 341,701.40
  4. Step 4: Simplify right side
    403,909.40x = 207,024,611,179.74
  5. Step 5: Solve for x
    x = 207,024,611,179.74/403,909.40
  6. Step 6: Final answer
    x = 512,552.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.