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Finding the Fourth Proportional to 421,670.76, 632,590.65 and 155,432.40

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Solution

The fourth proportional to 421,670.76, 632,590.65 and 155,432.40 is: 233,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,670.76 : 632,590.65 = 155,432.40 : x
  2. Step 2: Convert to fraction form
    421,670.76/632,590.65 = 155,432.40/x
  3. Step 3: Cross multiply
    421,670.76x = 632,590.65 × 155,432.40
  4. Step 4: Simplify right side
    421,670.76x = 98,325,082,947.06
  5. Step 5: Solve for x
    x = 98,325,082,947.06/421,670.76
  6. Step 6: Final answer
    x = 233,179.75

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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.