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Finding the Fourth Proportional to 299,272.80, 448,971.60 and 99,655.20

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Solution

The fourth proportional to 299,272.80, 448,971.60 and 99,655.20 is: 149,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,272.80 : 448,971.60 = 99,655.20 : x
  2. Step 2: Convert to fraction form
    299,272.80/448,971.60 = 99,655.20/x
  3. Step 3: Cross multiply
    299,272.80x = 448,971.60 × 99,655.20
  4. Step 4: Simplify right side
    299,272.80x = 44,742,354,592.32
  5. Step 5: Solve for x
    x = 44,742,354,592.32/299,272.80
  6. Step 6: Final answer
    x = 149,503.58

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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.