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Finding the Fourth Proportional to 565,714.36, 780,690.18 and 311,069.80

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Solution

The fourth proportional to 565,714.36, 780,690.18 and 311,069.80 is: 429,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,714.36 : 780,690.18 = 311,069.80 : x
  2. Step 2: Convert to fraction form
    565,714.36/780,690.18 = 311,069.80/x
  3. Step 3: Cross multiply
    565,714.36x = 780,690.18 × 311,069.80
  4. Step 4: Simplify right side
    565,714.36x = 242,849,138,154.56
  5. Step 5: Solve for x
    x = 242,849,138,154.56/565,714.36
  6. Step 6: Final answer
    x = 429,278.72

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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.