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Finding the Fourth Proportional to 417,443.20, 626,510.40 and 193,148.80

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Solution

The fourth proportional to 417,443.20, 626,510.40 and 193,148.80 is: 289,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,443.20 : 626,510.40 = 193,148.80 : x
  2. Step 2: Convert to fraction form
    417,443.20/626,510.40 = 193,148.80/x
  3. Step 3: Cross multiply
    417,443.20x = 626,510.40 × 193,148.80
  4. Step 4: Simplify right side
    417,443.20x = 121,009,731,947.52
  5. Step 5: Solve for x
    x = 121,009,731,947.52/417,443.20
  6. Step 6: Final answer
    x = 289,883.11

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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.