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Finding the Fourth Proportional to 491,208.03, 736,781.98 and 288,916

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Solution

The fourth proportional to 491,208.03, 736,781.98 and 288,916 is: 433,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,208.03 : 736,781.98 = 288,916 : x
  2. Step 2: Convert to fraction form
    491,208.03/736,781.98 = 288,916/x
  3. Step 3: Cross multiply
    491,208.03x = 736,781.98 × 288,916
  4. Step 4: Simplify right side
    491,208.03x = 212,868,102,533.68
  5. Step 5: Solve for x
    x = 212,868,102,533.68/491,208.03
  6. Step 6: Final answer
    x = 433,356.32

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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.