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Finding the Fourth Proportional to 378,988.30, 523,000.56 and 209,218.78

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Solution

The fourth proportional to 378,988.30, 523,000.56 and 209,218.78 is: 288,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,988.30 : 523,000.56 = 209,218.78 : x
  2. Step 2: Convert to fraction form
    378,988.30/523,000.56 = 209,218.78/x
  3. Step 3: Cross multiply
    378,988.30x = 523,000.56 × 209,218.78
  4. Step 4: Simplify right side
    378,988.30x = 109,421,539,102.52
  5. Step 5: Solve for x
    x = 109,421,539,102.52/378,988.30
  6. Step 6: Final answer
    x = 288,720.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.