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Finding the Fourth Proportional to 390,059.84, 538,293.20 and 220,319.20

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Solution

The fourth proportional to 390,059.84, 538,293.20 and 220,319.20 is: 304,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,059.84 : 538,293.20 = 220,319.20 : x
  2. Step 2: Convert to fraction form
    390,059.84/538,293.20 = 220,319.20/x
  3. Step 3: Cross multiply
    390,059.84x = 538,293.20 × 220,319.20
  4. Step 4: Simplify right side
    390,059.84x = 118,596,327,189.44
  5. Step 5: Solve for x
    x = 118,596,327,189.44/390,059.84
  6. Step 6: Final answer
    x = 304,046.49

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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.