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Finding the Fourth Proportional to 456,275.50, 684,184.84 and 140,691.40

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Solution

The fourth proportional to 456,275.50, 684,184.84 and 140,691.40 is: 210,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,275.50 : 684,184.84 = 140,691.40 : x
  2. Step 2: Convert to fraction form
    456,275.50/684,184.84 = 140,691.40/x
  3. Step 3: Cross multiply
    456,275.50x = 684,184.84 × 140,691.40
  4. Step 4: Simplify right side
    456,275.50x = 96,258,920,936.19
  5. Step 5: Solve for x
    x = 96,258,920,936.19/456,275.50
  6. Step 6: Final answer
    x = 210,966.67

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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.