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Finding the Fourth Proportional to 402,494.55, 603,762.48 and 102,977.72

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Solution

The fourth proportional to 402,494.55, 603,762.48 and 102,977.72 is: 154,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,494.55 : 603,762.48 = 102,977.72 : x
  2. Step 2: Convert to fraction form
    402,494.55/603,762.48 = 102,977.72/x
  3. Step 3: Cross multiply
    402,494.55x = 603,762.48 × 102,977.72
  4. Step 4: Simplify right side
    402,494.55x = 62,174,080,593.13
  5. Step 5: Solve for x
    x = 62,174,080,593.13/402,494.55
  6. Step 6: Final answer
    x = 154,471.86

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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.