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Finding the Fourth Proportional to 470,970.10, 649,955.91 and 269,804.98

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Solution

The fourth proportional to 470,970.10, 649,955.91 and 269,804.98 is: 372,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,970.10 : 649,955.91 = 269,804.98 : x
  2. Step 2: Convert to fraction form
    470,970.10/649,955.91 = 269,804.98/x
  3. Step 3: Cross multiply
    470,970.10x = 649,955.91 × 269,804.98
  4. Step 4: Simplify right side
    470,970.10x = 175,361,341,298.43
  5. Step 5: Solve for x
    x = 175,361,341,298.43/470,970.10
  6. Step 6: Final answer
    x = 372,340.71

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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.