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Finding the Fourth Proportional to 384,456.66, 530,528.22 and 229,582.71

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Solution

The fourth proportional to 384,456.66, 530,528.22 and 229,582.71 is: 316,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,456.66 : 530,528.22 = 229,582.71 : x
  2. Step 2: Convert to fraction form
    384,456.66/530,528.22 = 229,582.71/x
  3. Step 3: Cross multiply
    384,456.66x = 530,528.22 × 229,582.71
  4. Step 4: Simplify right side
    384,456.66x = 121,800,106,479.08
  5. Step 5: Solve for x
    x = 121,800,106,479.08/384,456.66
  6. Step 6: Final answer
    x = 316,811.02

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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.