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Finding the Fourth Proportional to 412,564.04, 618,488.28 and 159,670.45

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Solution

The fourth proportional to 412,564.04, 618,488.28 and 159,670.45 is: 239,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,564.04 : 618,488.28 = 159,670.45 : x
  2. Step 2: Convert to fraction form
    412,564.04/618,488.28 = 159,670.45/x
  3. Step 3: Cross multiply
    412,564.04x = 618,488.28 × 159,670.45
  4. Step 4: Simplify right side
    412,564.04x = 98,754,300,441.11
  5. Step 5: Solve for x
    x = 98,754,300,441.11/412,564.04
  6. Step 6: Final answer
    x = 239,367.20

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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.