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Finding the Fourth Proportional to 249,915.20, 374,419.20 and 144,420.80

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Solution

The fourth proportional to 249,915.20, 374,419.20 and 144,420.80 is: 216,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,915.20 : 374,419.20 = 144,420.80 : x
  2. Step 2: Convert to fraction form
    249,915.20/374,419.20 = 144,420.80/x
  3. Step 3: Cross multiply
    249,915.20x = 374,419.20 × 144,420.80
  4. Step 4: Simplify right side
    249,915.20x = 54,073,920,399.36
  5. Step 5: Solve for x
    x = 54,073,920,399.36/249,915.20
  6. Step 6: Final answer
    x = 216,369.07

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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.