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Finding the Fourth Proportional to 495,534.78, 683,885.58 and 277,742.37

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Solution

The fourth proportional to 495,534.78, 683,885.58 and 277,742.37 is: 383,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,534.78 : 683,885.58 = 277,742.37 : x
  2. Step 2: Convert to fraction form
    495,534.78/683,885.58 = 277,742.37/x
  3. Step 3: Cross multiply
    495,534.78x = 683,885.58 × 277,742.37
  4. Step 4: Simplify right side
    495,534.78x = 189,944,001,798.03
  5. Step 5: Solve for x
    x = 189,944,001,798.03/495,534.78
  6. Step 6: Final answer
    x = 383,311.14

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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.