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Finding the Fourth Proportional to 640,231.32, 960,605.16 and 285,002.40

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Solution

The fourth proportional to 640,231.32, 960,605.16 and 285,002.40 is: 427,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,231.32 : 960,605.16 = 285,002.40 : x
  2. Step 2: Convert to fraction form
    640,231.32/960,605.16 = 285,002.40/x
  3. Step 3: Cross multiply
    640,231.32x = 960,605.16 × 285,002.40
  4. Step 4: Simplify right side
    640,231.32x = 273,774,776,052.38
  5. Step 5: Solve for x
    x = 273,774,776,052.38/640,231.32
  6. Step 6: Final answer
    x = 427,618.53

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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.