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Finding the Fourth Proportional to 280,707.81, 387,367.50 and 177,397.20

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Solution

The fourth proportional to 280,707.81, 387,367.50 and 177,397.20 is: 244,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,707.81 : 387,367.50 = 177,397.20 : x
  2. Step 2: Convert to fraction form
    280,707.81/387,367.50 = 177,397.20/x
  3. Step 3: Cross multiply
    280,707.81x = 387,367.50 × 177,397.20
  4. Step 4: Simplify right side
    280,707.81x = 68,717,909,871.00
  5. Step 5: Solve for x
    x = 68,717,909,871.00/280,707.81
  6. Step 6: Final answer
    x = 244,802.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.