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Finding the Fourth Proportional to 515,056.32, 772,806.42 and 278,565.48

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Solution

The fourth proportional to 515,056.32, 772,806.42 and 278,565.48 is: 417,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,056.32 : 772,806.42 = 278,565.48 : x
  2. Step 2: Convert to fraction form
    515,056.32/772,806.42 = 278,565.48/x
  3. Step 3: Cross multiply
    515,056.32x = 772,806.42 × 278,565.48
  4. Step 4: Simplify right side
    515,056.32x = 215,277,191,334.38
  5. Step 5: Solve for x
    x = 215,277,191,334.38/515,056.32
  6. Step 6: Final answer
    x = 417,968.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.