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Finding the Fourth Proportional to 377,171.61, 520,497.90 and 205,089.63

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Solution

The fourth proportional to 377,171.61, 520,497.90 and 205,089.63 is: 283,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,171.61 : 520,497.90 = 205,089.63 : x
  2. Step 2: Convert to fraction form
    377,171.61/520,497.90 = 205,089.63/x
  3. Step 3: Cross multiply
    377,171.61x = 520,497.90 × 205,089.63
  4. Step 4: Simplify right side
    377,171.61x = 106,748,721,726.78
  5. Step 5: Solve for x
    x = 106,748,721,726.78/377,171.61
  6. Step 6: Final answer
    x = 283,024.28

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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.