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Finding the Fourth Proportional to 315,103,665.60, 471,805,192.80 and 315,103,665.60

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Solution

The fourth proportional to 315,103,665.60, 471,805,192.80 and 315,103,665.60 is: 471,805,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,103,665.60 : 471,805,192.80 = 315,103,665.60 : x
  2. Step 2: Convert to fraction form
    315,103,665.60/471,805,192.80 = 315,103,665.60/x
  3. Step 3: Cross multiply
    315,103,665.60x = 471,805,192.80 × 315,103,665.60
  4. Step 4: Simplify right side
    315,103,665.60x = 148,667,545,700,394,752
  5. Step 5: Solve for x
    x = 148,667,545,700,394,752/315,103,665.60
  6. Step 6: Final answer
    x = 471,805,192.80

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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.