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Finding the Fourth Proportional to 229,957.60, 317,341 and 129,355.60

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Solution

The fourth proportional to 229,957.60, 317,341 and 129,355.60 is: 178,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,957.60 : 317,341 = 129,355.60 : x
  2. Step 2: Convert to fraction form
    229,957.60/317,341 = 129,355.60/x
  3. Step 3: Cross multiply
    229,957.60x = 317,341 × 129,355.60
  4. Step 4: Simplify right side
    229,957.60x = 41,049,835,459.60
  5. Step 5: Solve for x
    x = 41,049,835,459.60/229,957.60
  6. Step 6: Final answer
    x = 178,510.45

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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.