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Finding the Fourth Proportional to 409,295.40, 614,234.70 and 172,807.80

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Solution

The fourth proportional to 409,295.40, 614,234.70 and 172,807.80 is: 259,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,295.40 : 614,234.70 = 172,807.80 : x
  2. Step 2: Convert to fraction form
    409,295.40/614,234.70 = 172,807.80/x
  3. Step 3: Cross multiply
    409,295.40x = 614,234.70 × 172,807.80
  4. Step 4: Simplify right side
    409,295.40x = 106,144,547,190.66
  5. Step 5: Solve for x
    x = 106,144,547,190.66/409,295.40
  6. Step 6: Final answer
    x = 259,334.82

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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.