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Finding the Fourth Proportional to 565,421.31, 780,271.38 and 310,772.43

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Solution

The fourth proportional to 565,421.31, 780,271.38 and 310,772.43 is: 428,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,421.31 : 780,271.38 = 310,772.43 : x
  2. Step 2: Convert to fraction form
    565,421.31/780,271.38 = 310,772.43/x
  3. Step 3: Cross multiply
    565,421.31x = 780,271.38 × 310,772.43
  4. Step 4: Simplify right side
    565,421.31x = 242,486,832,822.05
  5. Step 5: Solve for x
    x = 242,486,832,822.05/565,421.31
  6. Step 6: Final answer
    x = 428,860.44

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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.