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Finding the Fourth Proportional to 209,384.66, 313,957.59 and 142,905.26

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Solution

The fourth proportional to 209,384.66, 313,957.59 and 142,905.26 is: 214,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,384.66 : 313,957.59 = 142,905.26 : x
  2. Step 2: Convert to fraction form
    209,384.66/313,957.59 = 142,905.26/x
  3. Step 3: Cross multiply
    209,384.66x = 313,957.59 × 142,905.26
  4. Step 4: Simplify right side
    209,384.66x = 44,866,191,027.92
  5. Step 5: Solve for x
    x = 44,866,191,027.92/209,384.66
  6. Step 6: Final answer
    x = 214,276.40

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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.