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Finding the Fourth Proportional to 565,429.28, 780,282.40 and 310,780.40

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Solution

The fourth proportional to 565,429.28, 780,282.40 and 310,780.40 is: 428,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,429.28 : 780,282.40 = 310,780.40 : x
  2. Step 2: Convert to fraction form
    565,429.28/780,282.40 = 310,780.40/x
  3. Step 3: Cross multiply
    565,429.28x = 780,282.40 × 310,780.40
  4. Step 4: Simplify right side
    565,429.28x = 242,496,476,384.96
  5. Step 5: Solve for x
    x = 242,496,476,384.96/565,429.28
  6. Step 6: Final answer
    x = 428,871.45

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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.