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Finding the Fourth Proportional to 780,782, 1,077,479.16 and 423,086

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Solution

The fourth proportional to 780,782, 1,077,479.16 and 423,086 is: 583,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,782 : 1,077,479.16 = 423,086 : x
  2. Step 2: Convert to fraction form
    780,782/1,077,479.16 = 423,086/x
  3. Step 3: Cross multiply
    780,782x = 1,077,479.16 × 423,086
  4. Step 4: Simplify right side
    780,782x = 455,866,347,887.76
  5. Step 5: Solve for x
    x = 455,866,347,887.76/780,782
  6. Step 6: Final answer
    x = 583,858.68

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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.