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Finding the Fourth Proportional to 288,309.60, 432,463.38 and 77,947.50

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Solution

The fourth proportional to 288,309.60, 432,463.38 and 77,947.50 is: 116,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,309.60 : 432,463.38 = 77,947.50 : x
  2. Step 2: Convert to fraction form
    288,309.60/432,463.38 = 77,947.50/x
  3. Step 3: Cross multiply
    288,309.60x = 432,463.38 × 77,947.50
  4. Step 4: Simplify right side
    288,309.60x = 33,709,439,312.55
  5. Step 5: Solve for x
    x = 33,709,439,312.55/288,309.60
  6. Step 6: Final answer
    x = 116,920.97

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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.