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Finding the Fourth Proportional to 284,532.64, 392,621.60 and 157,200.64

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Solution

The fourth proportional to 284,532.64, 392,621.60 and 157,200.64 is: 216,918.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,532.64 : 392,621.60 = 157,200.64 : x
  2. Step 2: Convert to fraction form
    284,532.64/392,621.60 = 157,200.64/x
  3. Step 3: Cross multiply
    284,532.64x = 392,621.60 × 157,200.64
  4. Step 4: Simplify right side
    284,532.64x = 61,720,366,797.82
  5. Step 5: Solve for x
    x = 61,720,366,797.82/284,532.64
  6. Step 6: Final answer
    x = 216,918.41

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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.