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Finding the Fourth Proportional to 280,835.04, 421,309.02 and 103,342.98

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Solution

The fourth proportional to 280,835.04, 421,309.02 and 103,342.98 is: 155,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,835.04 : 421,309.02 = 103,342.98 : x
  2. Step 2: Convert to fraction form
    280,835.04/421,309.02 = 103,342.98/x
  3. Step 3: Cross multiply
    280,835.04x = 421,309.02 × 103,342.98
  4. Step 4: Simplify right side
    280,835.04x = 43,539,329,627.68
  5. Step 5: Solve for x
    x = 43,539,329,627.68/280,835.04
  6. Step 6: Final answer
    x = 155,035.25

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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.