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Finding the Fourth Proportional to 495,742.75, 684,063.78 and 302,079.90

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Solution

The fourth proportional to 495,742.75, 684,063.78 and 302,079.90 is: 416,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,742.75 : 684,063.78 = 302,079.90 : x
  2. Step 2: Convert to fraction form
    495,742.75/684,063.78 = 302,079.90/x
  3. Step 3: Cross multiply
    495,742.75x = 684,063.78 × 302,079.90
  4. Step 4: Simplify right side
    495,742.75x = 206,641,918,256.02
  5. Step 5: Solve for x
    x = 206,641,918,256.02/495,742.75
  6. Step 6: Final answer
    x = 416,832.96

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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.