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Finding the Fourth Proportional to 500,624.64, 690,950.40 and 299,420.16

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Solution

The fourth proportional to 500,624.64, 690,950.40 and 299,420.16 is: 413,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,624.64 : 690,950.40 = 299,420.16 : x
  2. Step 2: Convert to fraction form
    500,624.64/690,950.40 = 299,420.16/x
  3. Step 3: Cross multiply
    500,624.64x = 690,950.40 × 299,420.16
  4. Step 4: Simplify right side
    500,624.64x = 206,884,479,320.06
  5. Step 5: Solve for x
    x = 206,884,479,320.06/500,624.64
  6. Step 6: Final answer
    x = 413,252.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.