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Finding the Fourth Proportional to 340,430.88, 510,498.60 and 115,730.95

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Solution

The fourth proportional to 340,430.88, 510,498.60 and 115,730.95 is: 173,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,430.88 : 510,498.60 = 115,730.95 : x
  2. Step 2: Convert to fraction form
    340,430.88/510,498.60 = 115,730.95/x
  3. Step 3: Cross multiply
    340,430.88x = 510,498.60 × 115,730.95
  4. Step 4: Simplify right side
    340,430.88x = 59,080,487,951.67
  5. Step 5: Solve for x
    x = 59,080,487,951.67/340,430.88
  6. Step 6: Final answer
    x = 173,546.21

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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.