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Finding the Fourth Proportional to 415,275.80, 623,205.30 and 178,788.20

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Solution

The fourth proportional to 415,275.80, 623,205.30 and 178,788.20 is: 268,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,275.80 : 623,205.30 = 178,788.20 : x
  2. Step 2: Convert to fraction form
    415,275.80/623,205.30 = 178,788.20/x
  3. Step 3: Cross multiply
    415,275.80x = 623,205.30 × 178,788.20
  4. Step 4: Simplify right side
    415,275.80x = 111,421,753,817.46
  5. Step 5: Solve for x
    x = 111,421,753,817.46/415,275.80
  6. Step 6: Final answer
    x = 268,307.84

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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.