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Finding the Fourth Proportional to 421,667.64, 632,750.94 and 155,613.42

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Solution

The fourth proportional to 421,667.64, 632,750.94 and 155,613.42 is: 233,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,667.64 : 632,750.94 = 155,613.42 : x
  2. Step 2: Convert to fraction form
    421,667.64/632,750.94 = 155,613.42/x
  3. Step 3: Cross multiply
    421,667.64x = 632,750.94 × 155,613.42
  4. Step 4: Simplify right side
    421,667.64x = 98,464,537,781.61
  5. Step 5: Solve for x
    x = 98,464,537,781.61/421,667.64
  6. Step 6: Final answer
    x = 233,512.20

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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.