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Finding the Fourth Proportional to 299,665.60, 448,915.20 and 166,307.20

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Solution

The fourth proportional to 299,665.60, 448,915.20 and 166,307.20 is: 249,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,665.60 : 448,915.20 = 166,307.20 : x
  2. Step 2: Convert to fraction form
    299,665.60/448,915.20 = 166,307.20/x
  3. Step 3: Cross multiply
    299,665.60x = 448,915.20 × 166,307.20
  4. Step 4: Simplify right side
    299,665.60x = 74,657,829,949.44
  5. Step 5: Solve for x
    x = 74,657,829,949.44/299,665.60
  6. Step 6: Final answer
    x = 249,137.14

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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.