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Finding the Fourth Proportional to 652,001.76, 899,763.84 and 380,049.12

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Solution

The fourth proportional to 652,001.76, 899,763.84 and 380,049.12 is: 524,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,001.76 : 899,763.84 = 380,049.12 : x
  2. Step 2: Convert to fraction form
    652,001.76/899,763.84 = 380,049.12/x
  3. Step 3: Cross multiply
    652,001.76x = 899,763.84 × 380,049.12
  4. Step 4: Simplify right side
    652,001.76x = 341,954,455,599.82
  5. Step 5: Solve for x
    x = 341,954,455,599.82/652,001.76
  6. Step 6: Final answer
    x = 524,468.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.