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Finding the Fourth Proportional to 728,752, 1,093,692.48 and 505,678.72

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Solution

The fourth proportional to 728,752, 1,093,692.48 and 505,678.72 is: 758,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,752 : 1,093,692.48 = 505,678.72 : x
  2. Step 2: Convert to fraction form
    728,752/1,093,692.48 = 505,678.72/x
  3. Step 3: Cross multiply
    728,752x = 1,093,692.48 × 505,678.72
  4. Step 4: Simplify right side
    728,752x = 553,057,013,360.03
  5. Step 5: Solve for x
    x = 553,057,013,360.03/728,752
  6. Step 6: Final answer
    x = 758,909.77

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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.