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Finding the Fourth Proportional to 299,308.80, 448,358.40 and 186,643.20

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Solution

The fourth proportional to 299,308.80, 448,358.40 and 186,643.20 is: 279,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,308.80 : 448,358.40 = 186,643.20 : x
  2. Step 2: Convert to fraction form
    299,308.80/448,358.40 = 186,643.20/x
  3. Step 3: Cross multiply
    299,308.80x = 448,358.40 × 186,643.20
  4. Step 4: Simplify right side
    299,308.80x = 83,683,046,522.88
  5. Step 5: Solve for x
    x = 83,683,046,522.88/299,308.80
  6. Step 6: Final answer
    x = 279,587.66

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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.