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Finding the Fourth Proportional to 285,614.40, 428,421.60 and 219,259.20

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Solution

The fourth proportional to 285,614.40, 428,421.60 and 219,259.20 is: 328,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,614.40 : 428,421.60 = 219,259.20 : x
  2. Step 2: Convert to fraction form
    285,614.40/428,421.60 = 219,259.20/x
  3. Step 3: Cross multiply
    285,614.40x = 428,421.60 × 219,259.20
  4. Step 4: Simplify right side
    285,614.40x = 93,935,377,278.72
  5. Step 5: Solve for x
    x = 93,935,377,278.72/285,614.40
  6. Step 6: Final answer
    x = 328,888.80

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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.