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Finding the Fourth Proportional to 299,109.34, 412,775.80 and 163,143.28

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Solution

The fourth proportional to 299,109.34, 412,775.80 and 163,143.28 is: 225,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,109.34 : 412,775.80 = 163,143.28 : x
  2. Step 2: Convert to fraction form
    299,109.34/412,775.80 = 163,143.28/x
  3. Step 3: Cross multiply
    299,109.34x = 412,775.80 × 163,143.28
  4. Step 4: Simplify right side
    299,109.34x = 67,341,596,476.83
  5. Step 5: Solve for x
    x = 67,341,596,476.83/299,109.34
  6. Step 6: Final answer
    x = 225,140.40

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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.