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Finding the Fourth Proportional to 390,142.56, 538,628.76 and 247,025.28

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Solution

The fourth proportional to 390,142.56, 538,628.76 and 247,025.28 is: 341,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,142.56 : 538,628.76 = 247,025.28 : x
  2. Step 2: Convert to fraction form
    390,142.56/538,628.76 = 247,025.28/x
  3. Step 3: Cross multiply
    390,142.56x = 538,628.76 × 247,025.28
  4. Step 4: Simplify right side
    390,142.56x = 133,054,920,255.05
  5. Step 5: Solve for x
    x = 133,054,920,255.05/390,142.56
  6. Step 6: Final answer
    x = 341,041.80

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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.