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Finding the Fourth Proportional to 284,118.66, 392,093.16 and 155,064.18

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Solution

The fourth proportional to 284,118.66, 392,093.16 and 155,064.18 is: 213,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,118.66 : 392,093.16 = 155,064.18 : x
  2. Step 2: Convert to fraction form
    284,118.66/392,093.16 = 155,064.18/x
  3. Step 3: Cross multiply
    284,118.66x = 392,093.16 × 155,064.18
  4. Step 4: Simplify right side
    284,118.66x = 60,799,604,339.01
  5. Step 5: Solve for x
    x = 60,799,604,339.01/284,118.66
  6. Step 6: Final answer
    x = 213,993.70

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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.