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Finding the Fourth Proportional to 361,070.80, 540,746.51 and 208,947.17

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Solution

The fourth proportional to 361,070.80, 540,746.51 and 208,947.17 is: 312,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,070.80 : 540,746.51 = 208,947.17 : x
  2. Step 2: Convert to fraction form
    361,070.80/540,746.51 = 208,947.17/x
  3. Step 3: Cross multiply
    361,070.80x = 540,746.51 × 208,947.17
  4. Step 4: Simplify right side
    361,070.80x = 112,987,453,259.01
  5. Step 5: Solve for x
    x = 112,987,453,259.01/361,070.80
  6. Step 6: Final answer
    x = 312,923.27

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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.