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Finding the Fourth Proportional to 565,251.64, 780,038.52 and 310,597.36

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Solution

The fourth proportional to 565,251.64, 780,038.52 and 310,597.36 is: 428,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,251.64 : 780,038.52 = 310,597.36 : x
  2. Step 2: Convert to fraction form
    565,251.64/780,038.52 = 310,597.36/x
  3. Step 3: Cross multiply
    565,251.64x = 780,038.52 × 310,597.36
  4. Step 4: Simplify right side
    565,251.64x = 242,277,905,010.31
  5. Step 5: Solve for x
    x = 242,277,905,010.31/565,251.64
  6. Step 6: Final answer
    x = 428,619.55

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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.