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Finding the Fourth Proportional to 485,744.64, 728,651.52 and 153,312

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Solution

The fourth proportional to 485,744.64, 728,651.52 and 153,312 is: 229,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,744.64 : 728,651.52 = 153,312 : x
  2. Step 2: Convert to fraction form
    485,744.64/728,651.52 = 153,312/x
  3. Step 3: Cross multiply
    485,744.64x = 728,651.52 × 153,312
  4. Step 4: Simplify right side
    485,744.64x = 111,711,021,834.24
  5. Step 5: Solve for x
    x = 111,711,021,834.24/485,744.64
  6. Step 6: Final answer
    x = 229,978.91

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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.