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Finding the Fourth Proportional to 508,886.40, 762,676.80 and 284,246.40

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Solution

The fourth proportional to 508,886.40, 762,676.80 and 284,246.40 is: 426,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,886.40 : 762,676.80 = 284,246.40 : x
  2. Step 2: Convert to fraction form
    508,886.40/762,676.80 = 284,246.40/x
  3. Step 3: Cross multiply
    508,886.40x = 762,676.80 × 284,246.40
  4. Step 4: Simplify right side
    508,886.40x = 216,788,134,763.52
  5. Step 5: Solve for x
    x = 216,788,134,763.52/508,886.40
  6. Step 6: Final answer
    x = 426,004.97

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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.