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Finding the Fourth Proportional to 456,820.48, 686,014.80 and 280,363.60

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Solution

The fourth proportional to 456,820.48, 686,014.80 and 280,363.60 is: 421,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,820.48 : 686,014.80 = 280,363.60 : x
  2. Step 2: Convert to fraction form
    456,820.48/686,014.80 = 280,363.60/x
  3. Step 3: Cross multiply
    456,820.48x = 686,014.80 × 280,363.60
  4. Step 4: Simplify right side
    456,820.48x = 192,333,578,981.28
  5. Step 5: Solve for x
    x = 192,333,578,981.28/456,820.48
  6. Step 6: Final answer
    x = 421,026.61

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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.