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Finding the Fourth Proportional to 288,077.60, 432,116.40 and 77,736.80

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Solution

The fourth proportional to 288,077.60, 432,116.40 and 77,736.80 is: 116,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,077.60 : 432,116.40 = 77,736.80 : x
  2. Step 2: Convert to fraction form
    288,077.60/432,116.40 = 77,736.80/x
  3. Step 3: Cross multiply
    288,077.60x = 432,116.40 × 77,736.80
  4. Step 4: Simplify right side
    288,077.60x = 33,591,346,163.52
  5. Step 5: Solve for x
    x = 33,591,346,163.52/288,077.60
  6. Step 6: Final answer
    x = 116,605.20

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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.