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Finding the Fourth Proportional to 405,510.40, 608,006.40 and 168,947.20

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Solution

The fourth proportional to 405,510.40, 608,006.40 and 168,947.20 is: 253,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,510.40 : 608,006.40 = 168,947.20 : x
  2. Step 2: Convert to fraction form
    405,510.40/608,006.40 = 168,947.20/x
  3. Step 3: Cross multiply
    405,510.40x = 608,006.40 × 168,947.20
  4. Step 4: Simplify right side
    405,510.40x = 102,720,978,862.08
  5. Step 5: Solve for x
    x = 102,720,978,862.08/405,510.40
  6. Step 6: Final answer
    x = 253,312.81

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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.