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Finding the Fourth Proportional to 565,962.80, 781,025.12 and 320,994.32

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Solution

The fourth proportional to 565,962.80, 781,025.12 and 320,994.32 is: 442,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,962.80 : 781,025.12 = 320,994.32 : x
  2. Step 2: Convert to fraction form
    565,962.80/781,025.12 = 320,994.32/x
  3. Step 3: Cross multiply
    565,962.80x = 781,025.12 × 320,994.32
  4. Step 4: Simplify right side
    565,962.80x = 250,704,627,297.32
  5. Step 5: Solve for x
    x = 250,704,627,297.32/565,962.80
  6. Step 6: Final answer
    x = 442,970.15

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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.