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Finding the Fourth Proportional to 288,109.01, 432,163.53 and 77,746.61

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Solution

The fourth proportional to 288,109.01, 432,163.53 and 77,746.61 is: 116,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,109.01 : 432,163.53 = 77,746.61 : x
  2. Step 2: Convert to fraction form
    288,109.01/432,163.53 = 77,746.61/x
  3. Step 3: Cross multiply
    288,109.01x = 432,163.53 × 77,746.61
  4. Step 4: Simplify right side
    288,109.01x = 33,599,250,503.54
  5. Step 5: Solve for x
    x = 33,599,250,503.54/288,109.01
  6. Step 6: Final answer
    x = 116,619.92

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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.