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Finding the Fourth Proportional to 378,520.40, 568,071.48 and 282,697.04

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Solution

The fourth proportional to 378,520.40, 568,071.48 and 282,697.04 is: 424,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,520.40 : 568,071.48 = 282,697.04 : x
  2. Step 2: Convert to fraction form
    378,520.40/568,071.48 = 282,697.04/x
  3. Step 3: Cross multiply
    378,520.40x = 568,071.48 × 282,697.04
  4. Step 4: Simplify right side
    378,520.40x = 160,592,125,904.42
  5. Step 5: Solve for x
    x = 160,592,125,904.42/378,520.40
  6. Step 6: Final answer
    x = 424,262.80

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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.