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Finding the Fourth Proportional to 470,417.85, 649,232.28 and 279,432

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Solution

The fourth proportional to 470,417.85, 649,232.28 and 279,432 is: 385,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,417.85 : 649,232.28 = 279,432 : x
  2. Step 2: Convert to fraction form
    470,417.85/649,232.28 = 279,432/x
  3. Step 3: Cross multiply
    470,417.85x = 649,232.28 × 279,432
  4. Step 4: Simplify right side
    470,417.85x = 181,416,274,464.96
  5. Step 5: Solve for x
    x = 181,416,274,464.96/470,417.85
  6. Step 6: Final answer
    x = 385,649.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.