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Finding the Fourth Proportional to 865,681.45, 1,298,544.45 and 410,165.80

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Solution

The fourth proportional to 865,681.45, 1,298,544.45 and 410,165.80 is: 615,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,681.45 : 1,298,544.45 = 410,165.80 : x
  2. Step 2: Convert to fraction form
    865,681.45/1,298,544.45 = 410,165.80/x
  3. Step 3: Cross multiply
    865,681.45x = 1,298,544.45 × 410,165.80
  4. Step 4: Simplify right side
    865,681.45x = 532,618,523,169.81
  5. Step 5: Solve for x
    x = 532,618,523,169.81/865,681.45
  6. Step 6: Final answer
    x = 615,259.25

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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.