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Finding the Fourth Proportional to 457,089.67, 631,095.47 and 285,074.83

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Solution

The fourth proportional to 457,089.67, 631,095.47 and 285,074.83 is: 393,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,089.67 : 631,095.47 = 285,074.83 : x
  2. Step 2: Convert to fraction form
    457,089.67/631,095.47 = 285,074.83/x
  3. Step 3: Cross multiply
    457,089.67x = 631,095.47 × 285,074.83
  4. Step 4: Simplify right side
    457,089.67x = 179,909,432,398.65
  5. Step 5: Solve for x
    x = 179,909,432,398.65/457,089.67
  6. Step 6: Final answer
    x = 393,597.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.