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Finding the Fourth Proportional to 390,338.56, 538,642.27 and 218,270.71

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Solution

The fourth proportional to 390,338.56, 538,642.27 and 218,270.71 is: 301,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,338.56 : 538,642.27 = 218,270.71 : x
  2. Step 2: Convert to fraction form
    390,338.56/538,642.27 = 218,270.71/x
  3. Step 3: Cross multiply
    390,338.56x = 538,642.27 × 218,270.71
  4. Step 4: Simplify right side
    390,338.56x = 117,569,830,708.91
  5. Step 5: Solve for x
    x = 117,569,830,708.91/390,338.56
  6. Step 6: Final answer
    x = 301,199.63

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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.