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Finding the Fourth Proportional to 310,879.60, 466,319.40 and 286,385.20

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Solution

The fourth proportional to 310,879.60, 466,319.40 and 286,385.20 is: 429,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,879.60 : 466,319.40 = 286,385.20 : x
  2. Step 2: Convert to fraction form
    310,879.60/466,319.40 = 286,385.20/x
  3. Step 3: Cross multiply
    310,879.60x = 466,319.40 × 286,385.20
  4. Step 4: Simplify right side
    310,879.60x = 133,546,974,632.88
  5. Step 5: Solve for x
    x = 133,546,974,632.88/310,879.60
  6. Step 6: Final answer
    x = 429,577.80

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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.