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Finding the Fourth Proportional to 470,970.60, 649,956.60 and 269,805.48

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Solution

The fourth proportional to 470,970.60, 649,956.60 and 269,805.48 is: 372,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,970.60 : 649,956.60 = 269,805.48 : x
  2. Step 2: Convert to fraction form
    470,970.60/649,956.60 = 269,805.48/x
  3. Step 3: Cross multiply
    470,970.60x = 649,956.60 × 269,805.48
  4. Step 4: Simplify right side
    470,970.60x = 175,361,852,442.17
  5. Step 5: Solve for x
    x = 175,361,852,442.17/470,970.60
  6. Step 6: Final answer
    x = 372,341.40

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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.