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Finding the Fourth Proportional to 315,148.83, 472,329.54 and 202,529.31

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Solution

The fourth proportional to 315,148.83, 472,329.54 and 202,529.31 is: 303,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,148.83 : 472,329.54 = 202,529.31 : x
  2. Step 2: Convert to fraction form
    315,148.83/472,329.54 = 202,529.31/x
  3. Step 3: Cross multiply
    315,148.83x = 472,329.54 × 202,529.31
  4. Step 4: Simplify right side
    315,148.83x = 95,660,575,828.82
  5. Step 5: Solve for x
    x = 95,660,575,828.82/315,148.83
  6. Step 6: Final answer
    x = 303,540.95

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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.