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Finding the Fourth Proportional to 413,319.88, 619,402.40 and 223,370.74

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Solution

The fourth proportional to 413,319.88, 619,402.40 and 223,370.74 is: 334,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,319.88 : 619,402.40 = 223,370.74 : x
  2. Step 2: Convert to fraction form
    413,319.88/619,402.40 = 223,370.74/x
  3. Step 3: Cross multiply
    413,319.88x = 619,402.40 × 223,370.74
  4. Step 4: Simplify right side
    413,319.88x = 138,356,372,445.78
  5. Step 5: Solve for x
    x = 138,356,372,445.78/413,319.88
  6. Step 6: Final answer
    x = 334,744.05

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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.