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Finding the Fourth Proportional to 284,699.94, 392,888.26 and 157,377.66

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Solution

The fourth proportional to 284,699.94, 392,888.26 and 157,377.66 is: 217,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,699.94 : 392,888.26 = 157,377.66 : x
  2. Step 2: Convert to fraction form
    284,699.94/392,888.26 = 157,377.66/x
  3. Step 3: Cross multiply
    284,699.94x = 392,888.26 × 157,377.66
  4. Step 4: Simplify right side
    284,699.94x = 61,831,835,000.27
  5. Step 5: Solve for x
    x = 61,831,835,000.27/284,699.94
  6. Step 6: Final answer
    x = 217,182.47

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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.