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Finding the Fourth Proportional to 421,184.52, 632,072 and 243,447

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Solution

The fourth proportional to 421,184.52, 632,072 and 243,447 is: 365,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,184.52 : 632,072 = 243,447 : x
  2. Step 2: Convert to fraction form
    421,184.52/632,072 = 243,447/x
  3. Step 3: Cross multiply
    421,184.52x = 632,072 × 243,447
  4. Step 4: Simplify right side
    421,184.52x = 153,876,032,184
  5. Step 5: Solve for x
    x = 153,876,032,184/421,184.52
  6. Step 6: Final answer
    x = 365,341.14

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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.