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Finding the Fourth Proportional to 706,535.24, 974,997.86 and 400,639.55

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Solution

The fourth proportional to 706,535.24, 974,997.86 and 400,639.55 is: 552,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,535.24 : 974,997.86 = 400,639.55 : x
  2. Step 2: Convert to fraction form
    706,535.24/974,997.86 = 400,639.55/x
  3. Step 3: Cross multiply
    706,535.24x = 974,997.86 × 400,639.55
  4. Step 4: Simplify right side
    706,535.24x = 390,622,697,003.18
  5. Step 5: Solve for x
    x = 390,622,697,003.18/706,535.24
  6. Step 6: Final answer
    x = 552,870.79

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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.