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Finding the Fourth Proportional to 419,959.40, 630,200.34 and 170,641.40

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Solution

The fourth proportional to 419,959.40, 630,200.34 and 170,641.40 is: 256,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,959.40 : 630,200.34 = 170,641.40 : x
  2. Step 2: Convert to fraction form
    419,959.40/630,200.34 = 170,641.40/x
  3. Step 3: Cross multiply
    419,959.40x = 630,200.34 × 170,641.40
  4. Step 4: Simplify right side
    419,959.40x = 107,538,265,147.07
  5. Step 5: Solve for x
    x = 107,538,265,147.07/419,959.40
  6. Step 6: Final answer
    x = 256,068.24

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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.