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Finding the Fourth Proportional to 421,714.79, 632,472.81 and 155,330.63

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Solution

The fourth proportional to 421,714.79, 632,472.81 and 155,330.63 is: 232,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,714.79 : 632,472.81 = 155,330.63 : x
  2. Step 2: Convert to fraction form
    421,714.79/632,472.81 = 155,330.63/x
  3. Step 3: Cross multiply
    421,714.79x = 632,472.81 × 155,330.63
  4. Step 4: Simplify right side
    421,714.79x = 98,242,400,035.17
  5. Step 5: Solve for x
    x = 98,242,400,035.17/421,714.79
  6. Step 6: Final answer
    x = 232,959.34

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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.