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Finding the Fourth Proportional to 551,915.40, 825,904.80 and 382,641.60

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Solution

The fourth proportional to 551,915.40, 825,904.80 and 382,641.60 is: 572,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,915.40 : 825,904.80 = 382,641.60 : x
  2. Step 2: Convert to fraction form
    551,915.40/825,904.80 = 382,641.60/x
  3. Step 3: Cross multiply
    551,915.40x = 825,904.80 × 382,641.60
  4. Step 4: Simplify right side
    551,915.40x = 316,025,534,119.68
  5. Step 5: Solve for x
    x = 316,025,534,119.68/551,915.40
  6. Step 6: Final answer
    x = 572,597.78

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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.