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Finding the Fourth Proportional to 284,392.12, 392,453.60 and 157,064.96

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Solution

The fourth proportional to 284,392.12, 392,453.60 and 157,064.96 is: 216,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,392.12 : 392,453.60 = 157,064.96 : x
  2. Step 2: Convert to fraction form
    284,392.12/392,453.60 = 157,064.96/x
  3. Step 3: Cross multiply
    284,392.12x = 392,453.60 × 157,064.96
  4. Step 4: Simplify right side
    284,392.12x = 61,640,708,985.86
  5. Step 5: Solve for x
    x = 61,640,708,985.86/284,392.12
  6. Step 6: Final answer
    x = 216,745.49

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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.