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Finding the Fourth Proportional to 514,801.80, 772,640.10 and 230,929.20

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Solution

The fourth proportional to 514,801.80, 772,640.10 and 230,929.20 is: 346,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,801.80 : 772,640.10 = 230,929.20 : x
  2. Step 2: Convert to fraction form
    514,801.80/772,640.10 = 230,929.20/x
  3. Step 3: Cross multiply
    514,801.80x = 772,640.10 × 230,929.20
  4. Step 4: Simplify right side
    514,801.80x = 178,425,160,180.92
  5. Step 5: Solve for x
    x = 178,425,160,180.92/514,801.80
  6. Step 6: Final answer
    x = 346,590.01

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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.