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Finding the Fourth Proportional to 565,235.68, 780,044.40 and 310,596

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Solution

The fourth proportional to 565,235.68, 780,044.40 and 310,596 is: 428,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,235.68 : 780,044.40 = 310,596 : x
  2. Step 2: Convert to fraction form
    565,235.68/780,044.40 = 310,596/x
  3. Step 3: Cross multiply
    565,235.68x = 780,044.40 × 310,596
  4. Step 4: Simplify right side
    565,235.68x = 242,278,670,462.40
  5. Step 5: Solve for x
    x = 242,278,670,462.40/565,235.68
  6. Step 6: Final answer
    x = 428,633.01

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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.