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Finding the Fourth Proportional to 285,316.32, 427,814.40 and 195,460.56

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Solution

The fourth proportional to 285,316.32, 427,814.40 and 195,460.56 is: 293,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,316.32 : 427,814.40 = 195,460.56 : x
  2. Step 2: Convert to fraction form
    285,316.32/427,814.40 = 195,460.56/x
  3. Step 3: Cross multiply
    285,316.32x = 427,814.40 × 195,460.56
  4. Step 4: Simplify right side
    285,316.32x = 83,620,842,200.06
  5. Step 5: Solve for x
    x = 83,620,842,200.06/285,316.32
  6. Step 6: Final answer
    x = 293,081.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.