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Finding the Fourth Proportional to 292,031, 403,002.78 and 157,895

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Solution

The fourth proportional to 292,031, 403,002.78 and 157,895 is: 217,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,031 : 403,002.78 = 157,895 : x
  2. Step 2: Convert to fraction form
    292,031/403,002.78 = 157,895/x
  3. Step 3: Cross multiply
    292,031x = 403,002.78 × 157,895
  4. Step 4: Simplify right side
    292,031x = 63,632,123,948.10
  5. Step 5: Solve for x
    x = 63,632,123,948.10/292,031
  6. Step 6: Final answer
    x = 217,895.10

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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.