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Finding the Fourth Proportional to 628,225, 942,639.90 and 312,709.48

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Solution

The fourth proportional to 628,225, 942,639.90 and 312,709.48 is: 469,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,225 : 942,639.90 = 312,709.48 : x
  2. Step 2: Convert to fraction form
    628,225/942,639.90 = 312,709.48/x
  3. Step 3: Cross multiply
    628,225x = 942,639.90 × 312,709.48
  4. Step 4: Simplify right side
    628,225x = 294,772,432,956.25
  5. Step 5: Solve for x
    x = 294,772,432,956.25/628,225
  6. Step 6: Final answer
    x = 469,214.74

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1.5x scale

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.