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Finding the Fourth Proportional to 230,364.86, 317,929.32 and 128,399.63

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Solution

The fourth proportional to 230,364.86, 317,929.32 and 128,399.63 is: 177,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,364.86 : 317,929.32 = 128,399.63 : x
  2. Step 2: Convert to fraction form
    230,364.86/317,929.32 = 128,399.63/x
  3. Step 3: Cross multiply
    230,364.86x = 317,929.32 × 128,399.63
  4. Step 4: Simplify right side
    230,364.86x = 40,822,005,464.51
  5. Step 5: Solve for x
    x = 40,822,005,464.51/230,364.86
  6. Step 6: Final answer
    x = 177,205.87

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1.5x scale

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.