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Finding the Fourth Proportional to 486,009.70, 728,920.59 and 148,968.70

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Solution

The fourth proportional to 486,009.70, 728,920.59 and 148,968.70 is: 223,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,009.70 : 728,920.59 = 148,968.70 : x
  2. Step 2: Convert to fraction form
    486,009.70/728,920.59 = 148,968.70/x
  3. Step 3: Cross multiply
    486,009.70x = 728,920.59 × 148,968.70
  4. Step 4: Simplify right side
    486,009.70x = 108,586,352,695.53
  5. Step 5: Solve for x
    x = 108,586,352,695.53/486,009.70
  6. Step 6: Final answer
    x = 223,424.25

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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.