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Finding the Fourth Proportional to 565,603.20, 780,546.24 and 310,959.36

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Solution

The fourth proportional to 565,603.20, 780,546.24 and 310,959.36 is: 429,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,603.20 : 780,546.24 = 310,959.36 : x
  2. Step 2: Convert to fraction form
    565,603.20/780,546.24 = 310,959.36/x
  3. Step 3: Cross multiply
    565,603.20x = 780,546.24 × 310,959.36
  4. Step 4: Simplify right side
    565,603.20x = 242,718,159,240.81
  5. Step 5: Solve for x
    x = 242,718,159,240.81/565,603.20
  6. Step 6: Final answer
    x = 429,131.52

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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.