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Finding the Fourth Proportional to 653,374.80, 978,749.96 and 297,899.84

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Solution

The fourth proportional to 653,374.80, 978,749.96 and 297,899.84 is: 446,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,374.80 : 978,749.96 = 297,899.84 : x
  2. Step 2: Convert to fraction form
    653,374.80/978,749.96 = 297,899.84/x
  3. Step 3: Cross multiply
    653,374.80x = 978,749.96 × 297,899.84
  4. Step 4: Simplify right side
    653,374.80x = 291,569,456,484.01
  5. Step 5: Solve for x
    x = 291,569,456,484.01/653,374.80
  6. Step 6: Final answer
    x = 446,251.46

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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.