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Finding the Fourth Proportional to 284,185.79, 424,983.80 and 212,189.07

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Solution

The fourth proportional to 284,185.79, 424,983.80 and 212,189.07 is: 317,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,185.79 : 424,983.80 = 212,189.07 : x
  2. Step 2: Convert to fraction form
    284,185.79/424,983.80 = 212,189.07/x
  3. Step 3: Cross multiply
    284,185.79x = 424,983.80 × 212,189.07
  4. Step 4: Simplify right side
    284,185.79x = 90,176,917,287.07
  5. Step 5: Solve for x
    x = 90,176,917,287.07/284,185.79
  6. Step 6: Final answer
    x = 317,316.77

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1.5x scale

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.