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Finding the Fourth Proportional to 305,035.02, 457,552.51 and 83,419.02

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Solution

The fourth proportional to 305,035.02, 457,552.51 and 83,419.02 is: 125,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,035.02 : 457,552.51 = 83,419.02 : x
  2. Step 2: Convert to fraction form
    305,035.02/457,552.51 = 83,419.02/x
  3. Step 3: Cross multiply
    305,035.02x = 457,552.51 × 83,419.02
  4. Step 4: Simplify right side
    305,035.02x = 38,168,581,982.74
  5. Step 5: Solve for x
    x = 38,168,581,982.74/305,035.02
  6. Step 6: Final answer
    x = 125,128.52

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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.