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Finding the Fourth Proportional to 312,281.20, 430,948.16 and 169,040.80

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Solution

The fourth proportional to 312,281.20, 430,948.16 and 169,040.80 is: 233,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,281.20 : 430,948.16 = 169,040.80 : x
  2. Step 2: Convert to fraction form
    312,281.20/430,948.16 = 169,040.80/x
  3. Step 3: Cross multiply
    312,281.20x = 430,948.16 × 169,040.80
  4. Step 4: Simplify right side
    312,281.20x = 72,847,821,724.93
  5. Step 5: Solve for x
    x = 72,847,821,724.93/312,281.20
  6. Step 6: Final answer
    x = 233,276.36

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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.