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Finding the Fourth Proportional to 284,784.74, 393,010.83 and 157,464.89

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Solution

The fourth proportional to 284,784.74, 393,010.83 and 157,464.89 is: 217,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,784.74 : 393,010.83 = 157,464.89 : x
  2. Step 2: Convert to fraction form
    284,784.74/393,010.83 = 157,464.89/x
  3. Step 3: Cross multiply
    284,784.74x = 393,010.83 × 157,464.89
  4. Step 4: Simplify right side
    284,784.74x = 61,885,407,114.76
  5. Step 5: Solve for x
    x = 61,885,407,114.76/284,784.74
  6. Step 6: Final answer
    x = 217,305.91

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1.5x scale

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.