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Finding the Fourth Proportional to 457,089.17, 631,094.78 and 285,074.33

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Solution

The fourth proportional to 457,089.17, 631,094.78 and 285,074.33 is: 393,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,089.17 : 631,094.78 = 285,074.33 : x
  2. Step 2: Convert to fraction form
    457,089.17/631,094.78 = 285,074.33/x
  3. Step 3: Cross multiply
    457,089.17x = 631,094.78 × 285,074.33
  4. Step 4: Simplify right side
    457,089.17x = 179,908,920,149.63
  5. Step 5: Solve for x
    x = 179,908,920,149.63/457,089.17
  6. Step 6: Final answer
    x = 393,596.99

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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.