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Finding the Fourth Proportional to 468,048.48, 645,910.05 and 286,760.76

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Solution

The fourth proportional to 468,048.48, 645,910.05 and 286,760.76 is: 395,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,048.48 : 645,910.05 = 286,760.76 : x
  2. Step 2: Convert to fraction form
    468,048.48/645,910.05 = 286,760.76/x
  3. Step 3: Cross multiply
    468,048.48x = 645,910.05 × 286,760.76
  4. Step 4: Simplify right side
    468,048.48x = 185,221,656,829.64
  5. Step 5: Solve for x
    x = 185,221,656,829.64/468,048.48
  6. Step 6: Final answer
    x = 395,731.78

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1.5x scale

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.