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Finding the Fourth Proportional to 545,309.20, 817,963.80 and 146,011.60

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Solution

The fourth proportional to 545,309.20, 817,963.80 and 146,011.60 is: 219,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,309.20 : 817,963.80 = 146,011.60 : x
  2. Step 2: Convert to fraction form
    545,309.20/817,963.80 = 146,011.60/x
  3. Step 3: Cross multiply
    545,309.20x = 817,963.80 × 146,011.60
  4. Step 4: Simplify right side
    545,309.20x = 119,432,203,180.08
  5. Step 5: Solve for x
    x = 119,432,203,180.08/545,309.20
  6. Step 6: Final answer
    x = 219,017.40

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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.