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Finding the Fourth Proportional to 229,423.56, 316,719.64 and 143,430.34

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Solution

The fourth proportional to 229,423.56, 316,719.64 and 143,430.34 is: 198,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,423.56 : 316,719.64 = 143,430.34 : x
  2. Step 2: Convert to fraction form
    229,423.56/316,719.64 = 143,430.34/x
  3. Step 3: Cross multiply
    229,423.56x = 316,719.64 × 143,430.34
  4. Step 4: Simplify right side
    229,423.56x = 45,427,205,649.88
  5. Step 5: Solve for x
    x = 45,427,205,649.88/229,423.56
  6. Step 6: Final answer
    x = 198,005.84

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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.