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Finding the Fourth Proportional to 386,368.53, 533,180.63 and 214,258.72

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Solution

The fourth proportional to 386,368.53, 533,180.63 and 214,258.72 is: 295,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,368.53 : 533,180.63 = 214,258.72 : x
  2. Step 2: Convert to fraction form
    386,368.53/533,180.63 = 214,258.72/x
  3. Step 3: Cross multiply
    386,368.53x = 533,180.63 × 214,258.72
  4. Step 4: Simplify right side
    386,368.53x = 114,238,599,312.59
  5. Step 5: Solve for x
    x = 114,238,599,312.59/386,368.53
  6. Step 6: Final answer
    x = 295,672.63

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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.