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Finding the Fourth Proportional to 1,315,639.86, 1,974,062.44 and 715,702.02

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Solution

The fourth proportional to 1,315,639.86, 1,974,062.44 and 715,702.02 is: 1,073,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,639.86 : 1,974,062.44 = 715,702.02 : x
  2. Step 2: Convert to fraction form
    1,315,639.86/1,974,062.44 = 715,702.02/x
  3. Step 3: Cross multiply
    1,315,639.86x = 1,974,062.44 × 715,702.02
  4. Step 4: Simplify right side
    1,315,639.86x = 1,412,840,475,914.13
  5. Step 5: Solve for x
    x = 1,412,840,475,914.13/1,315,639.86
  6. Step 6: Final answer
    x = 1,073,880.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.