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Finding the Fourth Proportional to 284,580.42, 392,745.83 and 157,280.61

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Solution

The fourth proportional to 284,580.42, 392,745.83 and 157,280.61 is: 217,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,580.42 : 392,745.83 = 157,280.61 : x
  2. Step 2: Convert to fraction form
    284,580.42/392,745.83 = 157,280.61/x
  3. Step 3: Cross multiply
    284,580.42x = 392,745.83 × 157,280.61
  4. Step 4: Simplify right side
    284,580.42x = 61,771,303,717.36
  5. Step 5: Solve for x
    x = 61,771,303,717.36/284,580.42
  6. Step 6: Final answer
    x = 217,060.98

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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.