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Finding the Fourth Proportional to 284,496.40, 392,602.08 and 157,163.68

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Solution

The fourth proportional to 284,496.40, 392,602.08 and 157,163.68 is: 216,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,496.40 : 392,602.08 = 157,163.68 : x
  2. Step 2: Convert to fraction form
    284,496.40/392,602.08 = 157,163.68/x
  3. Step 3: Cross multiply
    284,496.40x = 392,602.08 × 157,163.68
  4. Step 4: Simplify right side
    284,496.40x = 61,702,787,668.45
  5. Step 5: Solve for x
    x = 61,702,787,668.45/284,496.40
  6. Step 6: Final answer
    x = 216,884.25

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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.