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Finding the Fourth Proportional to 572,400, 858,600 and 178,416

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Solution

The fourth proportional to 572,400, 858,600 and 178,416 is: 267,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,400 : 858,600 = 178,416 : x
  2. Step 2: Convert to fraction form
    572,400/858,600 = 178,416/x
  3. Step 3: Cross multiply
    572,400x = 858,600 × 178,416
  4. Step 4: Simplify right side
    572,400x = 153,187,977,600
  5. Step 5: Solve for x
    x = 153,187,977,600/572,400
  6. Step 6: Final answer
    x = 267,624

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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.