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Finding the Fourth Proportional to 284,313.78, 392,342.74 and 156,986.64

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Solution

The fourth proportional to 284,313.78, 392,342.74 and 156,986.64 is: 216,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,313.78 : 392,342.74 = 156,986.64 : x
  2. Step 2: Convert to fraction form
    284,313.78/392,342.74 = 156,986.64/x
  3. Step 3: Cross multiply
    284,313.78x = 392,342.74 × 156,986.64
  4. Step 4: Simplify right side
    284,313.78x = 61,592,568,088.53
  5. Step 5: Solve for x
    x = 61,592,568,088.53/284,313.78
  6. Step 6: Final answer
    x = 216,635.89

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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.