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Finding the Fourth Proportional to 340,559.46, 510,051.87 and 328,749.66

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Solution

The fourth proportional to 340,559.46, 510,051.87 and 328,749.66 is: 492,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,559.46 : 510,051.87 = 328,749.66 : x
  2. Step 2: Convert to fraction form
    340,559.46/510,051.87 = 328,749.66/x
  3. Step 3: Cross multiply
    340,559.46x = 510,051.87 × 328,749.66
  4. Step 4: Simplify right side
    340,559.46x = 167,679,378,844.86
  5. Step 5: Solve for x
    x = 167,679,378,844.86/340,559.46
  6. Step 6: Final answer
    x = 492,364.47

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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.