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Finding the Fourth Proportional to 495,355.50, 683,648.91 and 294,151.50

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Solution

The fourth proportional to 495,355.50, 683,648.91 and 294,151.50 is: 405,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,355.50 : 683,648.91 = 294,151.50 : x
  2. Step 2: Convert to fraction form
    495,355.50/683,648.91 = 294,151.50/x
  3. Step 3: Cross multiply
    495,355.50x = 683,648.91 × 294,151.50
  4. Step 4: Simplify right side
    495,355.50x = 201,096,352,349.87
  5. Step 5: Solve for x
    x = 201,096,352,349.87/495,355.50
  6. Step 6: Final answer
    x = 405,963.70

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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.