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Finding the Fourth Proportional to 565,675.36, 780,750.72 and 358,810

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Solution

The fourth proportional to 565,675.36, 780,750.72 and 358,810 is: 495,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,675.36 : 780,750.72 = 358,810 : x
  2. Step 2: Convert to fraction form
    565,675.36/780,750.72 = 358,810/x
  3. Step 3: Cross multiply
    565,675.36x = 780,750.72 × 358,810
  4. Step 4: Simplify right side
    565,675.36x = 280,141,165,843.20
  5. Step 5: Solve for x
    x = 280,141,165,843.20/565,675.36
  6. Step 6: Final answer
    x = 495,233.11

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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.