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Finding the Fourth Proportional to 421,048.56, 581,434.96 and 270,408

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Solution

The fourth proportional to 421,048.56, 581,434.96 and 270,408 is: 373,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,048.56 : 581,434.96 = 270,408 : x
  2. Step 2: Convert to fraction form
    421,048.56/581,434.96 = 270,408/x
  3. Step 3: Cross multiply
    421,048.56x = 581,434.96 × 270,408
  4. Step 4: Simplify right side
    421,048.56x = 157,224,664,663.68
  5. Step 5: Solve for x
    x = 157,224,664,663.68/421,048.56
  6. Step 6: Final answer
    x = 373,412.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.