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Finding the Fourth Proportional to 299,389.47, 448,918.06 and 99,600.80

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Solution

The fourth proportional to 299,389.47, 448,918.06 and 99,600.80 is: 149,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,389.47 : 448,918.06 = 99,600.80 : x
  2. Step 2: Convert to fraction form
    299,389.47/448,918.06 = 99,600.80/x
  3. Step 3: Cross multiply
    299,389.47x = 448,918.06 × 99,600.80
  4. Step 4: Simplify right side
    299,389.47x = 44,712,596,788.15
  5. Step 5: Solve for x
    x = 44,712,596,788.15/299,389.47
  6. Step 6: Final answer
    x = 149,345.92

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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.