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Finding the Fourth Proportional to 409,456.40, 613,601.40 and 302,001.80

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Solution

The fourth proportional to 409,456.40, 613,601.40 and 302,001.80 is: 452,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,456.40 : 613,601.40 = 302,001.80 : x
  2. Step 2: Convert to fraction form
    409,456.40/613,601.40 = 302,001.80/x
  3. Step 3: Cross multiply
    409,456.40x = 613,601.40 × 302,001.80
  4. Step 4: Simplify right side
    409,456.40x = 185,308,727,282.52
  5. Step 5: Solve for x
    x = 185,308,727,282.52/409,456.40
  6. Step 6: Final answer
    x = 452,572.55

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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.