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Finding the Fourth Proportional to 470,543.16, 649,405.52 and 279,557.31

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Solution

The fourth proportional to 470,543.16, 649,405.52 and 279,557.31 is: 385,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,543.16 : 649,405.52 = 279,557.31 : x
  2. Step 2: Convert to fraction form
    470,543.16/649,405.52 = 279,557.31/x
  3. Step 3: Cross multiply
    470,543.16x = 649,405.52 × 279,557.31
  4. Step 4: Simplify right side
    470,543.16x = 181,546,060,270.35
  5. Step 5: Solve for x
    x = 181,546,060,270.35/470,543.16
  6. Step 6: Final answer
    x = 385,822.33

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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.