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Finding the Fourth Proportional to 470,097.63, 649,268.87 and 316,871.55

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Solution

The fourth proportional to 470,097.63, 649,268.87 and 316,871.55 is: 437,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,097.63 : 649,268.87 = 316,871.55 : x
  2. Step 2: Convert to fraction form
    470,097.63/649,268.87 = 316,871.55/x
  3. Step 3: Cross multiply
    470,097.63x = 649,268.87 × 316,871.55
  4. Step 4: Simplify right side
    470,097.63x = 205,734,831,619.29
  5. Step 5: Solve for x
    x = 205,734,831,619.29/470,097.63
  6. Step 6: Final answer
    x = 437,642.78

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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.