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Finding the Fourth Proportional to 421,960.20, 633,001.86 and 122,442.45

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Solution

The fourth proportional to 421,960.20, 633,001.86 and 122,442.45 is: 183,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,960.20 : 633,001.86 = 122,442.45 : x
  2. Step 2: Convert to fraction form
    421,960.20/633,001.86 = 122,442.45/x
  3. Step 3: Cross multiply
    421,960.20x = 633,001.86 × 122,442.45
  4. Step 4: Simplify right side
    421,960.20x = 77,506,298,592.96
  5. Step 5: Solve for x
    x = 77,506,298,592.96/421,960.20
  6. Step 6: Final answer
    x = 183,681.54

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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.