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Finding the Fourth Proportional to 398,420.37, 597,718.04 and 117,959.49

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Solution

The fourth proportional to 398,420.37, 597,718.04 and 117,959.49 is: 176,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,420.37 : 597,718.04 = 117,959.49 : x
  2. Step 2: Convert to fraction form
    398,420.37/597,718.04 = 117,959.49/x
  3. Step 3: Cross multiply
    398,420.37x = 597,718.04 × 117,959.49
  4. Step 4: Simplify right side
    398,420.37x = 70,506,514,572.40
  5. Step 5: Solve for x
    x = 70,506,514,572.40/398,420.37
  6. Step 6: Final answer
    x = 176,965.14

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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.