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Finding the Fourth Proportional to 804,064, 1,206,648.96 and 278,752

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Solution

The fourth proportional to 804,064, 1,206,648.96 and 278,752 is: 418,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,064 : 1,206,648.96 = 278,752 : x
  2. Step 2: Convert to fraction form
    804,064/1,206,648.96 = 278,752/x
  3. Step 3: Cross multiply
    804,064x = 1,206,648.96 × 278,752
  4. Step 4: Simplify right side
    804,064x = 336,355,810,897.92
  5. Step 5: Solve for x
    x = 336,355,810,897.92/804,064
  6. Step 6: Final answer
    x = 418,319.70

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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.