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Finding the Fourth Proportional to 610,149.60, 914,965.20 and 294,703.20

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Solution

The fourth proportional to 610,149.60, 914,965.20 and 294,703.20 is: 441,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,149.60 : 914,965.20 = 294,703.20 : x
  2. Step 2: Convert to fraction form
    610,149.60/914,965.20 = 294,703.20/x
  3. Step 3: Cross multiply
    610,149.60x = 914,965.20 × 294,703.20
  4. Step 4: Simplify right side
    610,149.60x = 269,643,172,328.64
  5. Step 5: Solve for x
    x = 269,643,172,328.64/610,149.60
  6. Step 6: Final answer
    x = 441,929.61

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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.