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Finding the Fourth Proportional to 470,456.49, 649,086.93 and 266,475

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Solution

The fourth proportional to 470,456.49, 649,086.93 and 266,475 is: 367,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,456.49 : 649,086.93 = 266,475 : x
  2. Step 2: Convert to fraction form
    470,456.49/649,086.93 = 266,475/x
  3. Step 3: Cross multiply
    470,456.49x = 649,086.93 × 266,475
  4. Step 4: Simplify right side
    470,456.49x = 172,965,439,671.75
  5. Step 5: Solve for x
    x = 172,965,439,671.75/470,456.49
  6. Step 6: Final answer
    x = 367,654.49

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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.