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Finding the Fourth Proportional to 415,452.36, 623,732.04 and 280,968.24

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Solution

The fourth proportional to 415,452.36, 623,732.04 and 280,968.24 is: 421,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,452.36 : 623,732.04 = 280,968.24 : x
  2. Step 2: Convert to fraction form
    415,452.36/623,732.04 = 280,968.24/x
  3. Step 3: Cross multiply
    415,452.36x = 623,732.04 × 280,968.24
  4. Step 4: Simplify right side
    415,452.36x = 175,248,893,510.41
  5. Step 5: Solve for x
    x = 175,248,893,510.41/415,452.36
  6. Step 6: Final answer
    x = 421,826.69

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1.5x scale

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.