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Finding the Fourth Proportional to 398,666.80, 597,985.80 and 162,002.80

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Solution

The fourth proportional to 398,666.80, 597,985.80 and 162,002.80 is: 242,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,666.80 : 597,985.80 = 162,002.80 : x
  2. Step 2: Convert to fraction form
    398,666.80/597,985.80 = 162,002.80/x
  3. Step 3: Cross multiply
    398,666.80x = 597,985.80 × 162,002.80
  4. Step 4: Simplify right side
    398,666.80x = 96,875,373,960.24
  5. Step 5: Solve for x
    x = 96,875,373,960.24/398,666.80
  6. Step 6: Final answer
    x = 242,998.35

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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.