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Finding the Fourth Proportional to 342,866.40, 513,315.45 and 210,006.15

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Solution

The fourth proportional to 342,866.40, 513,315.45 and 210,006.15 is: 314,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,866.40 : 513,315.45 = 210,006.15 : x
  2. Step 2: Convert to fraction form
    342,866.40/513,315.45 = 210,006.15/x
  3. Step 3: Cross multiply
    342,866.40x = 513,315.45 × 210,006.15
  4. Step 4: Simplify right side
    342,866.40x = 107,799,401,390.02
  5. Step 5: Solve for x
    x = 107,799,401,390.02/342,866.40
  6. Step 6: Final answer
    x = 314,406.43

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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.