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Finding the Fourth Proportional to 286,874.90, 430,312.35 and 207,617.30

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Solution

The fourth proportional to 286,874.90, 430,312.35 and 207,617.30 is: 311,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,874.90 : 430,312.35 = 207,617.30 : x
  2. Step 2: Convert to fraction form
    286,874.90/430,312.35 = 207,617.30/x
  3. Step 3: Cross multiply
    286,874.90x = 430,312.35 × 207,617.30
  4. Step 4: Simplify right side
    286,874.90x = 89,340,288,263.66
  5. Step 5: Solve for x
    x = 89,340,288,263.66/286,874.90
  6. Step 6: Final answer
    x = 311,425.95

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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.