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Finding the Fourth Proportional to 390,077.80, 538,304.28 and 211,229.80

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Solution

The fourth proportional to 390,077.80, 538,304.28 and 211,229.80 is: 291,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,077.80 : 538,304.28 = 211,229.80 : x
  2. Step 2: Convert to fraction form
    390,077.80/538,304.28 = 211,229.80/x
  3. Step 3: Cross multiply
    390,077.80x = 538,304.28 × 211,229.80
  4. Step 4: Simplify right side
    390,077.80x = 113,705,905,403.54
  5. Step 5: Solve for x
    x = 113,705,905,403.54/390,077.80
  6. Step 6: Final answer
    x = 291,495.45

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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.