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Finding the Fourth Proportional to 470,285.64, 648,975.78 and 279,294.12

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Solution

The fourth proportional to 470,285.64, 648,975.78 and 279,294.12 is: 385,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,285.64 : 648,975.78 = 279,294.12 : x
  2. Step 2: Convert to fraction form
    470,285.64/648,975.78 = 279,294.12/x
  3. Step 3: Cross multiply
    470,285.64x = 648,975.78 × 279,294.12
  4. Step 4: Simplify right side
    470,285.64x = 181,255,119,376.41
  5. Step 5: Solve for x
    x = 181,255,119,376.41/470,285.64
  6. Step 6: Final answer
    x = 385,414.96

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1.5x scale

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.