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Finding the Fourth Proportional to 299,212.80, 448,214.40 and 186,547.20

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Solution

The fourth proportional to 299,212.80, 448,214.40 and 186,547.20 is: 279,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,212.80 : 448,214.40 = 186,547.20 : x
  2. Step 2: Convert to fraction form
    299,212.80/448,214.40 = 186,547.20/x
  3. Step 3: Cross multiply
    299,212.80x = 448,214.40 × 186,547.20
  4. Step 4: Simplify right side
    299,212.80x = 83,613,141,319.68
  5. Step 5: Solve for x
    x = 83,613,141,319.68/299,212.80
  6. Step 6: Final answer
    x = 279,443.73

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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.