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Finding the Fourth Proportional to 299,117.86, 448,579.71 and 99,384.62

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Solution

The fourth proportional to 299,117.86, 448,579.71 and 99,384.62 is: 149,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,117.86 : 448,579.71 = 99,384.62 : x
  2. Step 2: Convert to fraction form
    299,117.86/448,579.71 = 99,384.62/x
  3. Step 3: Cross multiply
    299,117.86x = 448,579.71 × 99,384.62
  4. Step 4: Simplify right side
    299,117.86x = 44,581,924,018.06
  5. Step 5: Solve for x
    x = 44,581,924,018.06/299,117.86
  6. Step 6: Final answer
    x = 149,044.68

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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.