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Finding the Fourth Proportional to 284,798.94, 392,992.47 and 157,453.98

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Solution

The fourth proportional to 284,798.94, 392,992.47 and 157,453.98 is: 217,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,798.94 : 392,992.47 = 157,453.98 : x
  2. Step 2: Convert to fraction form
    284,798.94/392,992.47 = 157,453.98/x
  3. Step 3: Cross multiply
    284,798.94x = 392,992.47 × 157,453.98
  4. Step 4: Simplify right side
    284,798.94x = 61,878,228,511.53
  5. Step 5: Solve for x
    x = 61,878,228,511.53/284,798.94
  6. Step 6: Final answer
    x = 217,269.87

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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.