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Finding the Fourth Proportional to 280,478.66, 387,009.56 and 165,776.58

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Solution

The fourth proportional to 280,478.66, 387,009.56 and 165,776.58 is: 228,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,478.66 : 387,009.56 = 165,776.58 : x
  2. Step 2: Convert to fraction form
    280,478.66/387,009.56 = 165,776.58/x
  3. Step 3: Cross multiply
    280,478.66x = 387,009.56 × 165,776.58
  4. Step 4: Simplify right side
    280,478.66x = 64,157,121,698.55
  5. Step 5: Solve for x
    x = 64,157,121,698.55/280,478.66
  6. Step 6: Final answer
    x = 228,741.55

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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.