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Finding the Fourth Proportional to 310,223.72, 428,097.69 and 189,566.93

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Solution

The fourth proportional to 310,223.72, 428,097.69 and 189,566.93 is: 261,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,223.72 : 428,097.69 = 189,566.93 : x
  2. Step 2: Convert to fraction form
    310,223.72/428,097.69 = 189,566.93/x
  3. Step 3: Cross multiply
    310,223.72x = 428,097.69 × 189,566.93
  4. Step 4: Simplify right side
    310,223.72x = 81,153,165,903.64
  5. Step 5: Solve for x
    x = 81,153,165,903.64/310,223.72
  6. Step 6: Final answer
    x = 261,595.62

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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.