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Finding the Fourth Proportional to 507,909.09, 700,772.74 and 400,144.67

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Solution

The fourth proportional to 507,909.09, 700,772.74 and 400,144.67 is: 552,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,909.09 : 700,772.74 = 400,144.67 : x
  2. Step 2: Convert to fraction form
    507,909.09/700,772.74 = 400,144.67/x
  3. Step 3: Cross multiply
    507,909.09x = 700,772.74 × 400,144.67
  4. Step 4: Simplify right side
    507,909.09x = 280,410,472,288.07
  5. Step 5: Solve for x
    x = 280,410,472,288.07/507,909.09
  6. Step 6: Final answer
    x = 552,087.92

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1.5x scale

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.