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Finding the Fourth Proportional to 299,178.08, 448,422.60 and 121,490

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Solution

The fourth proportional to 299,178.08, 448,422.60 and 121,490 is: 182,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,178.08 : 448,422.60 = 121,490 : x
  2. Step 2: Convert to fraction form
    299,178.08/448,422.60 = 121,490/x
  3. Step 3: Cross multiply
    299,178.08x = 448,422.60 × 121,490
  4. Step 4: Simplify right side
    299,178.08x = 54,478,861,674
  5. Step 5: Solve for x
    x = 54,478,861,674/299,178.08
  6. Step 6: Final answer
    x = 182,095.10

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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.