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Finding the Fourth Proportional to 342,048.30, 513,072.45 and 142,302.30

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Solution

The fourth proportional to 342,048.30, 513,072.45 and 142,302.30 is: 213,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,048.30 : 513,072.45 = 142,302.30 : x
  2. Step 2: Convert to fraction form
    342,048.30/513,072.45 = 142,302.30/x
  3. Step 3: Cross multiply
    342,048.30x = 513,072.45 × 142,302.30
  4. Step 4: Simplify right side
    342,048.30x = 73,011,389,701.64
  5. Step 5: Solve for x
    x = 73,011,389,701.64/342,048.30
  6. Step 6: Final answer
    x = 213,453.45

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1.5x scale

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.