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Finding the Fourth Proportional to 310,287.84, 428,243.52 and 189,498.60

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Solution

The fourth proportional to 310,287.84, 428,243.52 and 189,498.60 is: 261,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,287.84 : 428,243.52 = 189,498.60 : x
  2. Step 2: Convert to fraction form
    310,287.84/428,243.52 = 189,498.60/x
  3. Step 3: Cross multiply
    310,287.84x = 428,243.52 × 189,498.60
  4. Step 4: Simplify right side
    310,287.84x = 81,151,547,499.07
  5. Step 5: Solve for x
    x = 81,151,547,499.07/310,287.84
  6. Step 6: Final answer
    x = 261,536.34

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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.