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Finding the Fourth Proportional to 280,946.72, 421,223.11 and 103,430.63

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Solution

The fourth proportional to 280,946.72, 421,223.11 and 103,430.63 is: 155,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,946.72 : 421,223.11 = 103,430.63 : x
  2. Step 2: Convert to fraction form
    280,946.72/421,223.11 = 103,430.63/x
  3. Step 3: Cross multiply
    280,946.72x = 421,223.11 × 103,430.63
  4. Step 4: Simplify right side
    280,946.72x = 43,567,371,637.86
  5. Step 5: Solve for x
    x = 43,567,371,637.86/280,946.72
  6. Step 6: Final answer
    x = 155,073.43

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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.