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Finding the Fourth Proportional to 495,763.20, 683,942.40 and 304,715.52

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Solution

The fourth proportional to 495,763.20, 683,942.40 and 304,715.52 is: 420,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,763.20 : 683,942.40 = 304,715.52 : x
  2. Step 2: Convert to fraction form
    495,763.20/683,942.40 = 304,715.52/x
  3. Step 3: Cross multiply
    495,763.20x = 683,942.40 × 304,715.52
  4. Step 4: Simplify right side
    495,763.20x = 208,407,864,066.05
  5. Step 5: Solve for x
    x = 208,407,864,066.05/495,763.20
  6. Step 6: Final answer
    x = 420,377.84

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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.