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Finding the Fourth Proportional to 310,903.32, 466,355.70 and 86,275.80

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Solution

The fourth proportional to 310,903.32, 466,355.70 and 86,275.80 is: 129,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,903.32 : 466,355.70 = 86,275.80 : x
  2. Step 2: Convert to fraction form
    310,903.32/466,355.70 = 86,275.80/x
  3. Step 3: Cross multiply
    310,903.32x = 466,355.70 × 86,275.80
  4. Step 4: Simplify right side
    310,903.32x = 40,235,211,102.06
  5. Step 5: Solve for x
    x = 40,235,211,102.06/310,903.32
  6. Step 6: Final answer
    x = 129,413.90

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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.