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Finding the Fourth Proportional to 497,842.40, 745,856.40 and 286,853.60

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Solution

The fourth proportional to 497,842.40, 745,856.40 and 286,853.60 is: 429,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,842.40 : 745,856.40 = 286,853.60 : x
  2. Step 2: Convert to fraction form
    497,842.40/745,856.40 = 286,853.60/x
  3. Step 3: Cross multiply
    497,842.40x = 745,856.40 × 286,853.60
  4. Step 4: Simplify right side
    497,842.40x = 213,951,593,423.04
  5. Step 5: Solve for x
    x = 213,951,593,423.04/497,842.40
  6. Step 6: Final answer
    x = 429,757.68

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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.