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Finding the Fourth Proportional to 384,506.80, 575,399.40 and 335,129.20

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Solution

The fourth proportional to 384,506.80, 575,399.40 and 335,129.20 is: 501,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,506.80 : 575,399.40 = 335,129.20 : x
  2. Step 2: Convert to fraction form
    384,506.80/575,399.40 = 335,129.20/x
  3. Step 3: Cross multiply
    384,506.80x = 575,399.40 × 335,129.20
  4. Step 4: Simplify right side
    384,506.80x = 192,833,140,602.48
  5. Step 5: Solve for x
    x = 192,833,140,602.48/384,506.80
  6. Step 6: Final answer
    x = 501,507.75

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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.