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Finding the Fourth Proportional to 385,356.16, 531,812.16 and 215,580.16

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Solution

The fourth proportional to 385,356.16, 531,812.16 and 215,580.16 is: 297,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,356.16 : 531,812.16 = 215,580.16 : x
  2. Step 2: Convert to fraction form
    385,356.16/531,812.16 = 215,580.16/x
  3. Step 3: Cross multiply
    385,356.16x = 531,812.16 × 215,580.16
  4. Step 4: Simplify right side
    385,356.16x = 114,648,150,542.75
  5. Step 5: Solve for x
    x = 114,648,150,542.75/385,356.16
  6. Step 6: Final answer
    x = 297,512.18

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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.