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Finding the Fourth Proportional to 310,904.32, 466,357.20 and 86,276.80

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Solution

The fourth proportional to 310,904.32, 466,357.20 and 86,276.80 is: 129,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904.32 : 466,357.20 = 86,276.80 : x
  2. Step 2: Convert to fraction form
    310,904.32/466,357.20 = 86,276.80/x
  3. Step 3: Cross multiply
    310,904.32x = 466,357.20 × 86,276.80
  4. Step 4: Simplify right side
    310,904.32x = 40,235,806,872.96
  5. Step 5: Solve for x
    x = 40,235,806,872.96/310,904.32
  6. Step 6: Final answer
    x = 129,415.40

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1.5x scale

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.