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Finding the Fourth Proportional to 565,515.41, 780,391.48 and 310,864.78

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Solution

The fourth proportional to 565,515.41, 780,391.48 and 310,864.78 is: 428,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,515.41 : 780,391.48 = 310,864.78 : x
  2. Step 2: Convert to fraction form
    565,515.41/780,391.48 = 310,864.78/x
  3. Step 3: Cross multiply
    565,515.41x = 780,391.48 × 310,864.78
  4. Step 4: Simplify right side
    565,515.41x = 242,596,225,744.07
  5. Step 5: Solve for x
    x = 242,596,225,744.07/565,515.41
  6. Step 6: Final answer
    x = 428,982.52

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1.5x scale

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.