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Finding the Fourth Proportional to 408,455.74, 563,663.91 and 229,607.74

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Solution

The fourth proportional to 408,455.74, 563,663.91 and 229,607.74 is: 316,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,455.74 : 563,663.91 = 229,607.74 : x
  2. Step 2: Convert to fraction form
    408,455.74/563,663.91 = 229,607.74/x
  3. Step 3: Cross multiply
    408,455.74x = 563,663.91 × 229,607.74
  4. Step 4: Simplify right side
    408,455.74x = 129,421,596,494.66
  5. Step 5: Solve for x
    x = 129,421,596,494.66/408,455.74
  6. Step 6: Final answer
    x = 316,855.86

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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.