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Finding the Fourth Proportional to 972,756, 1,457,935.92 and 690,746.40

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Solution

The fourth proportional to 972,756, 1,457,935.92 and 690,746.40 is: 1,035,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,756 : 1,457,935.92 = 690,746.40 : x
  2. Step 2: Convert to fraction form
    972,756/1,457,935.92 = 690,746.40/x
  3. Step 3: Cross multiply
    972,756x = 1,457,935.92 × 690,746.40
  4. Step 4: Simplify right side
    972,756x = 1,007,063,988,170.69
  5. Step 5: Solve for x
    x = 1,007,063,988,170.69/972,756
  6. Step 6: Final answer
    x = 1,035,268.85

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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.