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Finding the Fourth Proportional to 284,790.81, 392,995.62 and 157,458

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Solution

The fourth proportional to 284,790.81, 392,995.62 and 157,458 is: 217,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,790.81 : 392,995.62 = 157,458 : x
  2. Step 2: Convert to fraction form
    284,790.81/392,995.62 = 157,458/x
  3. Step 3: Cross multiply
    284,790.81x = 392,995.62 × 157,458
  4. Step 4: Simplify right side
    284,790.81x = 61,880,304,333.96
  5. Step 5: Solve for x
    x = 61,880,304,333.96/284,790.81
  6. Step 6: Final answer
    x = 217,283.36

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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.