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Finding the Fourth Proportional to 390,493.62, 538,686.99 and 262,947.78

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Solution

The fourth proportional to 390,493.62, 538,686.99 and 262,947.78 is: 362,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,493.62 : 538,686.99 = 262,947.78 : x
  2. Step 2: Convert to fraction form
    390,493.62/538,686.99 = 262,947.78/x
  3. Step 3: Cross multiply
    390,493.62x = 538,686.99 × 262,947.78
  4. Step 4: Simplify right side
    390,493.62x = 141,646,548,135.38
  5. Step 5: Solve for x
    x = 141,646,548,135.38/390,493.62
  6. Step 6: Final answer
    x = 362,737.16

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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.