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Finding the Fourth Proportional to 500,113.76, 690,020.52 and 285,175.52

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Solution

The fourth proportional to 500,113.76, 690,020.52 and 285,175.52 is: 393,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,113.76 : 690,020.52 = 285,175.52 : x
  2. Step 2: Convert to fraction form
    500,113.76/690,020.52 = 285,175.52/x
  3. Step 3: Cross multiply
    500,113.76x = 690,020.52 × 285,175.52
  4. Step 4: Simplify right side
    500,113.76x = 196,776,960,601.67
  5. Step 5: Solve for x
    x = 196,776,960,601.67/500,113.76
  6. Step 6: Final answer
    x = 393,464.40

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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.