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Finding the Fourth Proportional to 464,493.51, 640,764.74 and 303,442.83

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Solution

The fourth proportional to 464,493.51, 640,764.74 and 303,442.83 is: 418,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,493.51 : 640,764.74 = 303,442.83 : x
  2. Step 2: Convert to fraction form
    464,493.51/640,764.74 = 303,442.83/x
  3. Step 3: Cross multiply
    464,493.51x = 640,764.74 × 303,442.83
  4. Step 4: Simplify right side
    464,493.51x = 194,435,466,828.42
  5. Step 5: Solve for x
    x = 194,435,466,828.42/464,493.51
  6. Step 6: Final answer
    x = 418,596.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.