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Finding the Fourth Proportional to 528,084.40, 792,904.20 and 409,889.20

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Solution

The fourth proportional to 528,084.40, 792,904.20 and 409,889.20 is: 615,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,084.40 : 792,904.20 = 409,889.20 : x
  2. Step 2: Convert to fraction form
    528,084.40/792,904.20 = 409,889.20/x
  3. Step 3: Cross multiply
    528,084.40x = 792,904.20 × 409,889.20
  4. Step 4: Simplify right side
    528,084.40x = 325,002,868,214.64
  5. Step 5: Solve for x
    x = 325,002,868,214.64/528,084.40
  6. Step 6: Final answer
    x = 615,437.36

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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.