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Finding the Fourth Proportional to 409,328.58, 614,058.48 and 172,706.12

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Solution

The fourth proportional to 409,328.58, 614,058.48 and 172,706.12 is: 259,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,328.58 : 614,058.48 = 172,706.12 : x
  2. Step 2: Convert to fraction form
    409,328.58/614,058.48 = 172,706.12/x
  3. Step 3: Cross multiply
    409,328.58x = 614,058.48 × 172,706.12
  4. Step 4: Simplify right side
    409,328.58x = 106,051,657,533.90
  5. Step 5: Solve for x
    x = 106,051,657,533.90/409,328.58
  6. Step 6: Final answer
    x = 259,086.86

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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.