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Finding the Fourth Proportional to 284,370.14, 392,431.03 and 157,045.64

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Solution

The fourth proportional to 284,370.14, 392,431.03 and 157,045.64 is: 216,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,370.14 : 392,431.03 = 157,045.64 : x
  2. Step 2: Convert to fraction form
    284,370.14/392,431.03 = 157,045.64/x
  3. Step 3: Cross multiply
    284,370.14x = 392,431.03 × 157,045.64
  4. Step 4: Simplify right side
    284,370.14x = 61,629,579,907.44
  5. Step 5: Solve for x
    x = 61,629,579,907.44/284,370.14
  6. Step 6: Final answer
    x = 216,723.10

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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.