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Finding the Fourth Proportional to 528,056.40, 792,862.20 and 409,861.20

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Solution

The fourth proportional to 528,056.40, 792,862.20 and 409,861.20 is: 615,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,056.40 : 792,862.20 = 409,861.20 : x
  2. Step 2: Convert to fraction form
    528,056.40/792,862.20 = 409,861.20/x
  3. Step 3: Cross multiply
    528,056.40x = 792,862.20 × 409,861.20
  4. Step 4: Simplify right side
    528,056.40x = 324,963,452,726.64
  5. Step 5: Solve for x
    x = 324,963,452,726.64/528,056.40
  6. Step 6: Final answer
    x = 615,395.35

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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.