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Finding the Fourth Proportional to 210,378.40, 315,594.90 and 96,498.74

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Solution

The fourth proportional to 210,378.40, 315,594.90 and 96,498.74 is: 144,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,378.40 : 315,594.90 = 96,498.74 : x
  2. Step 2: Convert to fraction form
    210,378.40/315,594.90 = 96,498.74/x
  3. Step 3: Cross multiply
    210,378.40x = 315,594.90 × 96,498.74
  4. Step 4: Simplify right side
    210,378.40x = 30,454,510,989.41
  5. Step 5: Solve for x
    x = 30,454,510,989.41/210,378.40
  6. Step 6: Final answer
    x = 144,760.64

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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.