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Finding the Fourth Proportional to 409,851.90, 566,036.71 and 312,012

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Solution

The fourth proportional to 409,851.90, 566,036.71 and 312,012 is: 430,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,851.90 : 566,036.71 = 312,012 : x
  2. Step 2: Convert to fraction form
    409,851.90/566,036.71 = 312,012/x
  3. Step 3: Cross multiply
    409,851.90x = 566,036.71 × 312,012
  4. Step 4: Simplify right side
    409,851.90x = 176,610,245,180.49
  5. Step 5: Solve for x
    x = 176,610,245,180.49/409,851.90
  6. Step 6: Final answer
    x = 430,912.35

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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.