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Finding the Fourth Proportional to 284,840.70, 393,064.27 and 155,753.56

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Solution

The fourth proportional to 284,840.70, 393,064.27 and 155,753.56 is: 214,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,840.70 : 393,064.27 = 155,753.56 : x
  2. Step 2: Convert to fraction form
    284,840.70/393,064.27 = 155,753.56/x
  3. Step 3: Cross multiply
    284,840.70x = 393,064.27 × 155,753.56
  4. Step 4: Simplify right side
    284,840.70x = 61,221,158,795.81
  5. Step 5: Solve for x
    x = 61,221,158,795.81/284,840.70
  6. Step 6: Final answer
    x = 214,931.22

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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.