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Finding the Fourth Proportional to 409,339.82, 614,058.95 and 209,606.58

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Solution

The fourth proportional to 409,339.82, 614,058.95 and 209,606.58 is: 314,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,339.82 : 614,058.95 = 209,606.58 : x
  2. Step 2: Convert to fraction form
    409,339.82/614,058.95 = 209,606.58/x
  3. Step 3: Cross multiply
    409,339.82x = 614,058.95 × 209,606.58
  4. Step 4: Simplify right side
    409,339.82x = 128,710,796,951.91
  5. Step 5: Solve for x
    x = 128,710,796,951.91/409,339.82
  6. Step 6: Final answer
    x = 314,435.07

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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.