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Finding the Fourth Proportional to 272,031.95, 407,278.02 and 207,916.63

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Solution

The fourth proportional to 272,031.95, 407,278.02 and 207,916.63 is: 311,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,031.95 : 407,278.02 = 207,916.63 : x
  2. Step 2: Convert to fraction form
    272,031.95/407,278.02 = 207,916.63/x
  3. Step 3: Cross multiply
    272,031.95x = 407,278.02 × 207,916.63
  4. Step 4: Simplify right side
    272,031.95x = 84,679,872,373.28
  5. Step 5: Solve for x
    x = 84,679,872,373.28/272,031.95
  6. Step 6: Final answer
    x = 311,286.49

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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.