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Finding the Fourth Proportional to 409,894.46, 614,663.12 and 217,726.83

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Solution

The fourth proportional to 409,894.46, 614,663.12 and 217,726.83 is: 326,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,894.46 : 614,663.12 = 217,726.83 : x
  2. Step 2: Convert to fraction form
    409,894.46/614,663.12 = 217,726.83/x
  3. Step 3: Cross multiply
    409,894.46x = 614,663.12 × 217,726.83
  4. Step 4: Simplify right side
    409,894.46x = 133,828,652,635.51
  5. Step 5: Solve for x
    x = 133,828,652,635.51/409,894.46
  6. Step 6: Final answer
    x = 326,495.39

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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.