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Finding the Fourth Proportional to 284,723, 427,342.08 and 151,715.60

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Solution

The fourth proportional to 284,723, 427,342.08 and 151,715.60 is: 227,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,723 : 427,342.08 = 151,715.60 : x
  2. Step 2: Convert to fraction form
    284,723/427,342.08 = 151,715.60/x
  3. Step 3: Cross multiply
    284,723x = 427,342.08 × 151,715.60
  4. Step 4: Simplify right side
    284,723x = 64,834,460,072.45
  5. Step 5: Solve for x
    x = 64,834,460,072.45/284,723
  6. Step 6: Final answer
    x = 227,710.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.