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Finding the Fourth Proportional to 399,643.80, 598,948.94 and 299,014.46

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Solution

The fourth proportional to 399,643.80, 598,948.94 and 299,014.46 is: 448,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,643.80 : 598,948.94 = 299,014.46 : x
  2. Step 2: Convert to fraction form
    399,643.80/598,948.94 = 299,014.46/x
  3. Step 3: Cross multiply
    399,643.80x = 598,948.94 × 299,014.46
  4. Step 4: Simplify right side
    399,643.80x = 179,094,393,861.67
  5. Step 5: Solve for x
    x = 179,094,393,861.67/399,643.80
  6. Step 6: Final answer
    x = 448,135.05

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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.