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Finding the Fourth Proportional to 231,465.76, 319,446.56 and 140,828.16

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Solution

The fourth proportional to 231,465.76, 319,446.56 and 140,828.16 is: 194,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,465.76 : 319,446.56 = 140,828.16 : x
  2. Step 2: Convert to fraction form
    231,465.76/319,446.56 = 140,828.16/x
  3. Step 3: Cross multiply
    231,465.76x = 319,446.56 × 140,828.16
  4. Step 4: Simplify right side
    231,465.76x = 44,987,071,263.13
  5. Step 5: Solve for x
    x = 44,987,071,263.13/231,465.76
  6. Step 6: Final answer
    x = 194,357.35

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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.