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Finding the Fourth Proportional to 230,896.48, 318,547.20 and 155,495.20

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Solution

The fourth proportional to 230,896.48, 318,547.20 and 155,495.20 is: 214,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,896.48 : 318,547.20 = 155,495.20 : x
  2. Step 2: Convert to fraction form
    230,896.48/318,547.20 = 155,495.20/x
  3. Step 3: Cross multiply
    230,896.48x = 318,547.20 × 155,495.20
  4. Step 4: Simplify right side
    230,896.48x = 49,532,560,573.44
  5. Step 5: Solve for x
    x = 49,532,560,573.44/230,896.48
  6. Step 6: Final answer
    x = 214,522.81

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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.