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Finding the Fourth Proportional to 299,113, 412,784.58 and 164,985.64

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Solution

The fourth proportional to 299,113, 412,784.58 and 164,985.64 is: 227,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,113 : 412,784.58 = 164,985.64 : x
  2. Step 2: Convert to fraction form
    299,113/412,784.58 = 164,985.64/x
  3. Step 3: Cross multiply
    299,113x = 412,784.58 × 164,985.64
  4. Step 4: Simplify right side
    299,113x = 68,103,528,113.43
  5. Step 5: Solve for x
    x = 68,103,528,113.43/299,113
  6. Step 6: Final answer
    x = 227,684.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.