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Finding the Fourth Proportional to 283,389.30, 424,099.80 and 194,815.80

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Solution

The fourth proportional to 283,389.30, 424,099.80 and 194,815.80 is: 291,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,389.30 : 424,099.80 = 194,815.80 : x
  2. Step 2: Convert to fraction form
    283,389.30/424,099.80 = 194,815.80/x
  3. Step 3: Cross multiply
    283,389.30x = 424,099.80 × 194,815.80
  4. Step 4: Simplify right side
    283,389.30x = 82,621,341,816.84
  5. Step 5: Solve for x
    x = 82,621,341,816.84/283,389.30
  6. Step 6: Final answer
    x = 291,547.15

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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.