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Finding the Fourth Proportional to 315,162.42, 434,930.31 and 171,927.78

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Solution

The fourth proportional to 315,162.42, 434,930.31 and 171,927.78 is: 237,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,162.42 : 434,930.31 = 171,927.78 : x
  2. Step 2: Convert to fraction form
    315,162.42/434,930.31 = 171,927.78/x
  3. Step 3: Cross multiply
    315,162.42x = 434,930.31 × 171,927.78
  4. Step 4: Simplify right side
    315,162.42x = 74,776,602,653.01
  5. Step 5: Solve for x
    x = 74,776,602,653.01/315,162.42
  6. Step 6: Final answer
    x = 237,263.70

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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.