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Finding the Fourth Proportional to 310,898.26, 465,784.23 and 142,559.40

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Solution

The fourth proportional to 310,898.26, 465,784.23 and 142,559.40 is: 213,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,898.26 : 465,784.23 = 142,559.40 : x
  2. Step 2: Convert to fraction form
    310,898.26/465,784.23 = 142,559.40/x
  3. Step 3: Cross multiply
    310,898.26x = 465,784.23 × 142,559.40
  4. Step 4: Simplify right side
    310,898.26x = 66,401,922,639.55
  5. Step 5: Solve for x
    x = 66,401,922,639.55/310,898.26
  6. Step 6: Final answer
    x = 213,580.87

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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.