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Finding the Fourth Proportional to 340,555.40, 510,833.10 and 287,411.30

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Solution

The fourth proportional to 340,555.40, 510,833.10 and 287,411.30 is: 431,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,555.40 : 510,833.10 = 287,411.30 : x
  2. Step 2: Convert to fraction form
    340,555.40/510,833.10 = 287,411.30/x
  3. Step 3: Cross multiply
    340,555.40x = 510,833.10 × 287,411.30
  4. Step 4: Simplify right side
    340,555.40x = 146,819,205,354.03
  5. Step 5: Solve for x
    x = 146,819,205,354.03/340,555.40
  6. Step 6: Final answer
    x = 431,116.95

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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.