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Finding the Fourth Proportional to 284,809.96, 393,027.15 and 157,487.68

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Solution

The fourth proportional to 284,809.96, 393,027.15 and 157,487.68 is: 217,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,809.96 : 393,027.15 = 157,487.68 : x
  2. Step 2: Convert to fraction form
    284,809.96/393,027.15 = 157,487.68/x
  3. Step 3: Cross multiply
    284,809.96x = 393,027.15 × 157,487.68
  4. Step 4: Simplify right side
    284,809.96x = 61,896,934,030.51
  5. Step 5: Solve for x
    x = 61,896,934,030.51/284,809.96
  6. Step 6: Final answer
    x = 217,327.14

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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.