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Finding the Fourth Proportional to 421,574.31, 632,610.54 and 155,521.65

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Solution

The fourth proportional to 421,574.31, 632,610.54 and 155,521.65 is: 233,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,574.31 : 632,610.54 = 155,521.65 : x
  2. Step 2: Convert to fraction form
    421,574.31/632,610.54 = 155,521.65/x
  3. Step 3: Cross multiply
    421,574.31x = 632,610.54 × 155,521.65
  4. Step 4: Simplify right side
    421,574.31x = 98,384,634,988.19
  5. Step 5: Solve for x
    x = 98,384,634,988.19/421,574.31
  6. Step 6: Final answer
    x = 233,374.36

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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.