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Finding the Fourth Proportional to 283,437.60, 425,207.60 and 142,842.40

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Solution

The fourth proportional to 283,437.60, 425,207.60 and 142,842.40 is: 214,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,437.60 : 425,207.60 = 142,842.40 : x
  2. Step 2: Convert to fraction form
    283,437.60/425,207.60 = 142,842.40/x
  3. Step 3: Cross multiply
    283,437.60x = 425,207.60 × 142,842.40
  4. Step 4: Simplify right side
    283,437.60x = 60,737,674,082.24
  5. Step 5: Solve for x
    x = 60,737,674,082.24/283,437.60
  6. Step 6: Final answer
    x = 214,289.40

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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.