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Finding the Fourth Proportional to 384,500.80, 575,390.40 and 335,123.20

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Solution

The fourth proportional to 384,500.80, 575,390.40 and 335,123.20 is: 501,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,500.80 : 575,390.40 = 335,123.20 : x
  2. Step 2: Convert to fraction form
    384,500.80/575,390.40 = 335,123.20/x
  3. Step 3: Cross multiply
    384,500.80x = 575,390.40 × 335,123.20
  4. Step 4: Simplify right side
    384,500.80x = 192,826,672,097.28
  5. Step 5: Solve for x
    x = 192,826,672,097.28/384,500.80
  6. Step 6: Final answer
    x = 501,498.75

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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.