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Finding the Fourth Proportional to 431,807.78, 648,272.93 and 332,038.03

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Solution

The fourth proportional to 431,807.78, 648,272.93 and 332,038.03 is: 498,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,807.78 : 648,272.93 = 332,038.03 : x
  2. Step 2: Convert to fraction form
    431,807.78/648,272.93 = 332,038.03/x
  3. Step 3: Cross multiply
    431,807.78x = 648,272.93 × 332,038.03
  4. Step 4: Simplify right side
    431,807.78x = 215,251,266,579.53
  5. Step 5: Solve for x
    x = 215,251,266,579.53/431,807.78
  6. Step 6: Final answer
    x = 498,488.63

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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.