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Finding the Fourth Proportional to 316,214.53, 474,208.38 and 91,528.47

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Solution

The fourth proportional to 316,214.53, 474,208.38 and 91,528.47 is: 137,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,214.53 : 474,208.38 = 91,528.47 : x
  2. Step 2: Convert to fraction form
    316,214.53/474,208.38 = 91,528.47/x
  3. Step 3: Cross multiply
    316,214.53x = 474,208.38 × 91,528.47
  4. Step 4: Simplify right side
    316,214.53x = 43,403,565,111.54
  5. Step 5: Solve for x
    x = 43,403,565,111.54/316,214.53
  6. Step 6: Final answer
    x = 137,259.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.