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Finding the Fourth Proportional to 284,870.98, 393,129.84 and 157,554.64

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Solution

The fourth proportional to 284,870.98, 393,129.84 and 157,554.64 is: 217,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,870.98 : 393,129.84 = 157,554.64 : x
  2. Step 2: Convert to fraction form
    284,870.98/393,129.84 = 157,554.64/x
  3. Step 3: Cross multiply
    284,870.98x = 393,129.84 × 157,554.64
  4. Step 4: Simplify right side
    284,870.98x = 61,939,430,414.46
  5. Step 5: Solve for x
    x = 61,939,430,414.46/284,870.98
  6. Step 6: Final answer
    x = 217,429.77

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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.