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Finding the Fourth Proportional to 345,681.60, 518,682.77 and 146,048.59

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Solution

The fourth proportional to 345,681.60, 518,682.77 and 146,048.59 is: 219,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,681.60 : 518,682.77 = 146,048.59 : x
  2. Step 2: Convert to fraction form
    345,681.60/518,682.77 = 146,048.59/x
  3. Step 3: Cross multiply
    345,681.60x = 518,682.77 × 146,048.59
  4. Step 4: Simplify right side
    345,681.60x = 75,752,887,215.79
  5. Step 5: Solve for x
    x = 75,752,887,215.79/345,681.60
  6. Step 6: Final answer
    x = 219,140.64

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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.