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Finding the Fourth Proportional to 1,297,502.07, 1,789,931.70 and 813,825.15

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Solution

The fourth proportional to 1,297,502.07, 1,789,931.70 and 813,825.15 is: 1,122,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,502.07 : 1,789,931.70 = 813,825.15 : x
  2. Step 2: Convert to fraction form
    1,297,502.07/1,789,931.70 = 813,825.15/x
  3. Step 3: Cross multiply
    1,297,502.07x = 1,789,931.70 × 813,825.15
  4. Step 4: Simplify right side
    1,297,502.07x = 1,456,691,434,242.26
  5. Step 5: Solve for x
    x = 1,456,691,434,242.26/1,297,502.07
  6. Step 6: Final answer
    x = 1,122,689.10

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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.