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Finding the Fourth Proportional to 384,562.40, 576,325.20 and 257,842.40

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Solution

The fourth proportional to 384,562.40, 576,325.20 and 257,842.40 is: 386,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,562.40 : 576,325.20 = 257,842.40 : x
  2. Step 2: Convert to fraction form
    384,562.40/576,325.20 = 257,842.40/x
  3. Step 3: Cross multiply
    384,562.40x = 576,325.20 × 257,842.40
  4. Step 4: Simplify right side
    384,562.40x = 148,601,072,748.48
  5. Step 5: Solve for x
    x = 148,601,072,748.48/384,562.40
  6. Step 6: Final answer
    x = 386,416.02

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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.