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Finding the Fourth Proportional to 575,216.40, 862,997.40 and 409,328.40

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Solution

The fourth proportional to 575,216.40, 862,997.40 and 409,328.40 is: 614,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,216.40 : 862,997.40 = 409,328.40 : x
  2. Step 2: Convert to fraction form
    575,216.40/862,997.40 = 409,328.40/x
  3. Step 3: Cross multiply
    575,216.40x = 862,997.40 × 409,328.40
  4. Step 4: Simplify right side
    575,216.40x = 353,249,344,946.16
  5. Step 5: Solve for x
    x = 353,249,344,946.16/575,216.40
  6. Step 6: Final answer
    x = 614,115.57

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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.