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Finding the Fourth Proportional to 343,320.80, 513,944.40 and 301,848.80

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Solution

The fourth proportional to 343,320.80, 513,944.40 and 301,848.80 is: 451,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,320.80 : 513,944.40 = 301,848.80 : x
  2. Step 2: Convert to fraction form
    343,320.80/513,944.40 = 301,848.80/x
  3. Step 3: Cross multiply
    343,320.80x = 513,944.40 × 301,848.80
  4. Step 4: Simplify right side
    343,320.80x = 155,133,500,406.72
  5. Step 5: Solve for x
    x = 155,133,500,406.72/343,320.80
  6. Step 6: Final answer
    x = 451,861.64

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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.