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Finding the Fourth Proportional to 343,412.80, 513,952.80 and 301,422.40

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Solution

The fourth proportional to 343,412.80, 513,952.80 and 301,422.40 is: 451,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,412.80 : 513,952.80 = 301,422.40 : x
  2. Step 2: Convert to fraction form
    343,412.80/513,952.80 = 301,422.40/x
  3. Step 3: Cross multiply
    343,412.80x = 513,952.80 × 301,422.40
  4. Step 4: Simplify right side
    343,412.80x = 154,916,886,462.72
  5. Step 5: Solve for x
    x = 154,916,886,462.72/343,412.80
  6. Step 6: Final answer
    x = 451,109.82

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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.