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Finding the Fourth Proportional to 402,562.80, 603,325.80 and 191,746.80

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Solution

The fourth proportional to 402,562.80, 603,325.80 and 191,746.80 is: 287,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,562.80 : 603,325.80 = 191,746.80 : x
  2. Step 2: Convert to fraction form
    402,562.80/603,325.80 = 191,746.80/x
  3. Step 3: Cross multiply
    402,562.80x = 603,325.80 × 191,746.80
  4. Step 4: Simplify right side
    402,562.80x = 115,685,791,507.44
  5. Step 5: Solve for x
    x = 115,685,791,507.44/402,562.80
  6. Step 6: Final answer
    x = 287,373.28

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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.