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Finding the Fourth Proportional to 284,970, 393,246.72 and 157,637.52

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Solution

The fourth proportional to 284,970, 393,246.72 and 157,637.52 is: 217,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,970 : 393,246.72 = 157,637.52 : x
  2. Step 2: Convert to fraction form
    284,970/393,246.72 = 157,637.52/x
  3. Step 3: Cross multiply
    284,970x = 393,246.72 × 157,637.52
  4. Step 4: Simplify right side
    284,970x = 61,990,437,688.93
  5. Step 5: Solve for x
    x = 61,990,437,688.93/284,970
  6. Step 6: Final answer
    x = 217,533.21

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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.