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Finding the Fourth Proportional to 565,928.51, 780,964.89 and 311,279.63

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Solution

The fourth proportional to 565,928.51, 780,964.89 and 311,279.63 is: 429,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,928.51 : 780,964.89 = 311,279.63 : x
  2. Step 2: Convert to fraction form
    565,928.51/780,964.89 = 311,279.63/x
  3. Step 3: Cross multiply
    565,928.51x = 780,964.89 × 311,279.63
  4. Step 4: Simplify right side
    565,928.51x = 243,098,462,002.19
  5. Step 5: Solve for x
    x = 243,098,462,002.19/565,928.51
  6. Step 6: Final answer
    x = 429,556.84

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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.