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Finding the Fourth Proportional to 342,768.30, 514,257.48 and 153,388.08

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Solution

The fourth proportional to 342,768.30, 514,257.48 and 153,388.08 is: 230,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,768.30 : 514,257.48 = 153,388.08 : x
  2. Step 2: Convert to fraction form
    342,768.30/514,257.48 = 153,388.08/x
  3. Step 3: Cross multiply
    342,768.30x = 514,257.48 × 153,388.08
  4. Step 4: Simplify right side
    342,768.30x = 78,880,967,482.84
  5. Step 5: Solve for x
    x = 78,880,967,482.84/342,768.30
  6. Step 6: Final answer
    x = 230,129.12

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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.