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Finding the Fourth Proportional to 343,430.56, 514,436.72 and 254,784.16

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Solution

The fourth proportional to 343,430.56, 514,436.72 and 254,784.16 is: 381,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,430.56 : 514,436.72 = 254,784.16 : x
  2. Step 2: Convert to fraction form
    343,430.56/514,436.72 = 254,784.16/x
  3. Step 3: Cross multiply
    343,430.56x = 514,436.72 × 254,784.16
  4. Step 4: Simplify right side
    343,430.56x = 131,070,327,578.36
  5. Step 5: Solve for x
    x = 131,070,327,578.36/343,430.56
  6. Step 6: Final answer
    x = 381,650.16

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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.