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Finding the Fourth Proportional to 500,337, 690,572.25 and 319,007.16

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Solution

The fourth proportional to 500,337, 690,572.25 and 319,007.16 is: 440,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,337 : 690,572.25 = 319,007.16 : x
  2. Step 2: Convert to fraction form
    500,337/690,572.25 = 319,007.16/x
  3. Step 3: Cross multiply
    500,337x = 690,572.25 × 319,007.16
  4. Step 4: Simplify right side
    500,337x = 220,297,492,247.31
  5. Step 5: Solve for x
    x = 220,297,492,247.31/500,337
  6. Step 6: Final answer
    x = 440,298.22

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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.