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Finding the Fourth Proportional to 284,493.51, 392,628.20 and 155,451.60

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Solution

The fourth proportional to 284,493.51, 392,628.20 and 155,451.60 is: 214,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,493.51 : 392,628.20 = 155,451.60 : x
  2. Step 2: Convert to fraction form
    284,493.51/392,628.20 = 155,451.60/x
  3. Step 3: Cross multiply
    284,493.51x = 392,628.20 × 155,451.60
  4. Step 4: Simplify right side
    284,493.51x = 61,034,681,895.12
  5. Step 5: Solve for x
    x = 61,034,681,895.12/284,493.51
  6. Step 6: Final answer
    x = 214,538.05

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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.