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Finding the Fourth Proportional to 565,737.40, 780,707.22 and 311,089.24

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Solution

The fourth proportional to 565,737.40, 780,707.22 and 311,089.24 is: 429,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,737.40 : 780,707.22 = 311,089.24 : x
  2. Step 2: Convert to fraction form
    565,737.40/780,707.22 = 311,089.24/x
  3. Step 3: Cross multiply
    565,737.40x = 780,707.22 × 311,089.24
  4. Step 4: Simplify right side
    565,737.40x = 242,869,615,732.31
  5. Step 5: Solve for x
    x = 242,869,615,732.31/565,737.40
  6. Step 6: Final answer
    x = 429,297.44

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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.