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Finding the Fourth Proportional to 230,295.42, 317,802.89 and 128,320.47

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Solution

The fourth proportional to 230,295.42, 317,802.89 and 128,320.47 is: 177,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,295.42 : 317,802.89 = 128,320.47 : x
  2. Step 2: Convert to fraction form
    230,295.42/317,802.89 = 128,320.47/x
  3. Step 3: Cross multiply
    230,295.42x = 317,802.89 × 128,320.47
  4. Step 4: Simplify right side
    230,295.42x = 40,780,616,532.96
  5. Step 5: Solve for x
    x = 40,780,616,532.96/230,295.42
  6. Step 6: Final answer
    x = 177,079.58

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1.5x scale

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.