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Finding the Fourth Proportional to 316,031.42, 474,042.38 and 102,809.05

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Solution

The fourth proportional to 316,031.42, 474,042.38 and 102,809.05 is: 154,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,031.42 : 474,042.38 = 102,809.05 : x
  2. Step 2: Convert to fraction form
    316,031.42/474,042.38 = 102,809.05/x
  3. Step 3: Cross multiply
    316,031.42x = 474,042.38 × 102,809.05
  4. Step 4: Simplify right side
    316,031.42x = 48,735,845,048.39
  5. Step 5: Solve for x
    x = 48,735,845,048.39/316,031.42
  6. Step 6: Final answer
    x = 154,212.02

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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.