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Finding the Fourth Proportional to 418,719.93, 628,338.24 and 194,038.49

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Solution

The fourth proportional to 418,719.93, 628,338.24 and 194,038.49 is: 291,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,719.93 : 628,338.24 = 194,038.49 : x
  2. Step 2: Convert to fraction form
    418,719.93/628,338.24 = 194,038.49/x
  3. Step 3: Cross multiply
    418,719.93x = 628,338.24 × 194,038.49
  4. Step 4: Simplify right side
    418,719.93x = 121,921,803,298.86
  5. Step 5: Solve for x
    x = 121,921,803,298.86/418,719.93
  6. Step 6: Final answer
    x = 291,177.45

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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.