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Finding the Fourth Proportional to 500,432.16, 690,570.72 and 274,072.80

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Solution

The fourth proportional to 500,432.16, 690,570.72 and 274,072.80 is: 378,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,432.16 : 690,570.72 = 274,072.80 : x
  2. Step 2: Convert to fraction form
    500,432.16/690,570.72 = 274,072.80/x
  3. Step 3: Cross multiply
    500,432.16x = 690,570.72 × 274,072.80
  4. Step 4: Simplify right side
    500,432.16x = 189,266,650,828.42
  5. Step 5: Solve for x
    x = 189,266,650,828.42/500,432.16
  6. Step 6: Final answer
    x = 378,206.41

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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.