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Finding the Fourth Proportional to 705,710, 973,879.80 and 387,758

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Solution

The fourth proportional to 705,710, 973,879.80 and 387,758 is: 535,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,710 : 973,879.80 = 387,758 : x
  2. Step 2: Convert to fraction form
    705,710/973,879.80 = 387,758/x
  3. Step 3: Cross multiply
    705,710x = 973,879.80 × 387,758
  4. Step 4: Simplify right side
    705,710x = 377,629,683,488.40
  5. Step 5: Solve for x
    x = 377,629,683,488.40/705,710
  6. Step 6: Final answer
    x = 535,106.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.