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Finding the Fourth Proportional to 340,590.40, 510,947.70 and 115,940.14

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Solution

The fourth proportional to 340,590.40, 510,947.70 and 115,940.14 is: 173,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,590.40 : 510,947.70 = 115,940.14 : x
  2. Step 2: Convert to fraction form
    340,590.40/510,947.70 = 115,940.14/x
  3. Step 3: Cross multiply
    340,590.40x = 510,947.70 × 115,940.14
  4. Step 4: Simplify right side
    340,590.40x = 59,239,347,870.68
  5. Step 5: Solve for x
    x = 59,239,347,870.68/340,590.40
  6. Step 6: Final answer
    x = 173,931.35

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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.