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Finding the Fourth Proportional to 398,421, 597,748.55 and 117,945.54

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Solution

The fourth proportional to 398,421, 597,748.55 and 117,945.54 is: 176,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,421 : 597,748.55 = 117,945.54 : x
  2. Step 2: Convert to fraction form
    398,421/597,748.55 = 117,945.54/x
  3. Step 3: Cross multiply
    398,421x = 597,748.55 × 117,945.54
  4. Step 4: Simplify right side
    398,421x = 70,501,774,924.24
  5. Step 5: Solve for x
    x = 70,501,774,924.24/398,421
  6. Step 6: Final answer
    x = 176,952.96

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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.