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Finding the Fourth Proportional to 470,574, 649,479.60 and 269,370

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Solution

The fourth proportional to 470,574, 649,479.60 and 269,370 is: 371,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,574 : 649,479.60 = 269,370 : x
  2. Step 2: Convert to fraction form
    470,574/649,479.60 = 269,370/x
  3. Step 3: Cross multiply
    470,574x = 649,479.60 × 269,370
  4. Step 4: Simplify right side
    470,574x = 174,950,319,852
  5. Step 5: Solve for x
    x = 174,950,319,852/470,574
  6. Step 6: Final answer
    x = 371,780.68

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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.