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Finding the Fourth Proportional to 432,488.23, 648,850.71 and 208,036.42

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Solution

The fourth proportional to 432,488.23, 648,850.71 and 208,036.42 is: 312,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,488.23 : 648,850.71 = 208,036.42 : x
  2. Step 2: Convert to fraction form
    432,488.23/648,850.71 = 208,036.42/x
  3. Step 3: Cross multiply
    432,488.23x = 648,850.71 × 208,036.42
  4. Step 4: Simplify right side
    432,488.23x = 134,984,579,633.92
  5. Step 5: Solve for x
    x = 134,984,579,633.92/432,488.23
  6. Step 6: Final answer
    x = 312,111.57

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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.