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Finding the Fourth Proportional to 390,298.30, 538,604.64 and 220,528.78

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Solution

The fourth proportional to 390,298.30, 538,604.64 and 220,528.78 is: 304,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,298.30 : 538,604.64 = 220,528.78 : x
  2. Step 2: Convert to fraction form
    390,298.30/538,604.64 = 220,528.78/x
  3. Step 3: Cross multiply
    390,298.30x = 538,604.64 × 220,528.78
  4. Step 4: Simplify right side
    390,298.30x = 118,777,824,161.54
  5. Step 5: Solve for x
    x = 118,777,824,161.54/390,298.30
  6. Step 6: Final answer
    x = 304,325.75

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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.