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Finding the Fourth Proportional to 384,807.30, 576,044.55 and 290,717.70

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Solution

The fourth proportional to 384,807.30, 576,044.55 and 290,717.70 is: 435,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,807.30 : 576,044.55 = 290,717.70 : x
  2. Step 2: Convert to fraction form
    384,807.30/576,044.55 = 290,717.70/x
  3. Step 3: Cross multiply
    384,807.30x = 576,044.55 × 290,717.70
  4. Step 4: Simplify right side
    384,807.30x = 167,466,346,673.54
  5. Step 5: Solve for x
    x = 167,466,346,673.54/384,807.30
  6. Step 6: Final answer
    x = 435,195.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.