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Finding the Fourth Proportional to 210,228.64, 315,423.60 and 85,674.40

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Solution

The fourth proportional to 210,228.64, 315,423.60 and 85,674.40 is: 128,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,228.64 : 315,423.60 = 85,674.40 : x
  2. Step 2: Convert to fraction form
    210,228.64/315,423.60 = 85,674.40/x
  3. Step 3: Cross multiply
    210,228.64x = 315,423.60 × 85,674.40
  4. Step 4: Simplify right side
    210,228.64x = 27,023,727,675.84
  5. Step 5: Solve for x
    x = 27,023,727,675.84/210,228.64
  6. Step 6: Final answer
    x = 128,544.46

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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.