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Finding the Fourth Proportional to 470,386.46, 648,990.28 and 266,404.97

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Solution

The fourth proportional to 470,386.46, 648,990.28 and 266,404.97 is: 367,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,386.46 : 648,990.28 = 266,404.97 : x
  2. Step 2: Convert to fraction form
    470,386.46/648,990.28 = 266,404.97/x
  3. Step 3: Cross multiply
    470,386.46x = 648,990.28 × 266,404.97
  4. Step 4: Simplify right side
    470,386.46x = 172,894,236,073.69
  5. Step 5: Solve for x
    x = 172,894,236,073.69/470,386.46
  6. Step 6: Final answer
    x = 367,557.85

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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.