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Finding the Fourth Proportional to 307,840, 461,423.76 and 195,570.40

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Solution

The fourth proportional to 307,840, 461,423.76 and 195,570.40 is: 293,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,840 : 461,423.76 = 195,570.40 : x
  2. Step 2: Convert to fraction form
    307,840/461,423.76 = 195,570.40/x
  3. Step 3: Cross multiply
    307,840x = 461,423.76 × 195,570.40
  4. Step 4: Simplify right side
    307,840x = 90,240,829,312.70
  5. Step 5: Solve for x
    x = 90,240,829,312.70/307,840
  6. Step 6: Final answer
    x = 293,141.99

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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.