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Finding the Fourth Proportional to 284,376.69, 392,442.17 and 157,054.41

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Solution

The fourth proportional to 284,376.69, 392,442.17 and 157,054.41 is: 216,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,376.69 : 392,442.17 = 157,054.41 : x
  2. Step 2: Convert to fraction form
    284,376.69/392,442.17 = 157,054.41/x
  3. Step 3: Cross multiply
    284,376.69x = 392,442.17 × 157,054.41
  4. Step 4: Simplify right side
    284,376.69x = 61,634,772,683.20
  5. Step 5: Solve for x
    x = 61,634,772,683.20/284,376.69
  6. Step 6: Final answer
    x = 216,736.37

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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.