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Finding the Fourth Proportional to 259,280, 357,838.08 and 146,123.36

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Solution

The fourth proportional to 259,280, 357,838.08 and 146,123.36 is: 201,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,280 : 357,838.08 = 146,123.36 : x
  2. Step 2: Convert to fraction form
    259,280/357,838.08 = 146,123.36/x
  3. Step 3: Cross multiply
    259,280x = 357,838.08 × 146,123.36
  4. Step 4: Simplify right side
    259,280x = 52,288,502,585.55
  5. Step 5: Solve for x
    x = 52,288,502,585.55/259,280
  6. Step 6: Final answer
    x = 201,668.09

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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.