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Finding the Fourth Proportional to 342,139.80, 513,209.70 and 308,962.20

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Solution

The fourth proportional to 342,139.80, 513,209.70 and 308,962.20 is: 463,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,139.80 : 513,209.70 = 308,962.20 : x
  2. Step 2: Convert to fraction form
    342,139.80/513,209.70 = 308,962.20/x
  3. Step 3: Cross multiply
    342,139.80x = 513,209.70 × 308,962.20
  4. Step 4: Simplify right side
    342,139.80x = 158,562,397,973.34
  5. Step 5: Solve for x
    x = 158,562,397,973.34/342,139.80
  6. Step 6: Final answer
    x = 463,443.30

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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.