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Finding the Fourth Proportional to 472,694.40, 709,030.08 and 192,142.08

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Solution

The fourth proportional to 472,694.40, 709,030.08 and 192,142.08 is: 288,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,694.40 : 709,030.08 = 192,142.08 : x
  2. Step 2: Convert to fraction form
    472,694.40/709,030.08 = 192,142.08/x
  3. Step 3: Cross multiply
    472,694.40x = 709,030.08 × 192,142.08
  4. Step 4: Simplify right side
    472,694.40x = 136,234,514,353.77
  5. Step 5: Solve for x
    x = 136,234,514,353.77/472,694.40
  6. Step 6: Final answer
    x = 288,208.44

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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.