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Finding the Fourth Proportional to 284,678.78, 392,895.78 and 163,817.60

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Solution

The fourth proportional to 284,678.78, 392,895.78 and 163,817.60 is: 226,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,678.78 : 392,895.78 = 163,817.60 : x
  2. Step 2: Convert to fraction form
    284,678.78/392,895.78 = 163,817.60/x
  3. Step 3: Cross multiply
    284,678.78x = 392,895.78 × 163,817.60
  4. Step 4: Simplify right side
    284,678.78x = 64,363,243,729.73
  5. Step 5: Solve for x
    x = 64,363,243,729.73/284,678.78
  6. Step 6: Final answer
    x = 226,090.77

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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.