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Finding the Fourth Proportional to 565,437.28, 780,416.92 and 335,950.40

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Solution

The fourth proportional to 565,437.28, 780,416.92 and 335,950.40 is: 463,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,437.28 : 780,416.92 = 335,950.40 : x
  2. Step 2: Convert to fraction form
    565,437.28/780,416.92 = 335,950.40/x
  3. Step 3: Cross multiply
    565,437.28x = 780,416.92 × 335,950.40
  4. Step 4: Simplify right side
    565,437.28x = 262,181,376,440.77
  5. Step 5: Solve for x
    x = 262,181,376,440.77/565,437.28
  6. Step 6: Final answer
    x = 463,678.97

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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.