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Finding the Fourth Proportional to 780,780, 1,077,476.40 and 423,084

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Solution

The fourth proportional to 780,780, 1,077,476.40 and 423,084 is: 583,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,780 : 1,077,476.40 = 423,084 : x
  2. Step 2: Convert to fraction form
    780,780/1,077,476.40 = 423,084/x
  3. Step 3: Cross multiply
    780,780x = 1,077,476.40 × 423,084
  4. Step 4: Simplify right side
    780,780x = 455,863,025,217.60
  5. Step 5: Solve for x
    x = 455,863,025,217.60/780,780
  6. Step 6: Final answer
    x = 583,855.92

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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.