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Finding the Fourth Proportional to 304,207.55, 456,311.33 and 257,551.55

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Solution

The fourth proportional to 304,207.55, 456,311.33 and 257,551.55 is: 386,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,207.55 : 456,311.33 = 257,551.55 : x
  2. Step 2: Convert to fraction form
    304,207.55/456,311.33 = 257,551.55/x
  3. Step 3: Cross multiply
    304,207.55x = 456,311.33 × 257,551.55
  4. Step 4: Simplify right side
    304,207.55x = 117,523,689,036.30
  5. Step 5: Solve for x
    x = 117,523,689,036.30/304,207.55
  6. Step 6: Final answer
    x = 386,327.33

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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.