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Finding the Fourth Proportional to 357,840.78, 493,678.62 and 230,590.50

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Solution

The fourth proportional to 357,840.78, 493,678.62 and 230,590.50 is: 318,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,840.78 : 493,678.62 = 230,590.50 : x
  2. Step 2: Convert to fraction form
    357,840.78/493,678.62 = 230,590.50/x
  3. Step 3: Cross multiply
    357,840.78x = 493,678.62 × 230,590.50
  4. Step 4: Simplify right side
    357,840.78x = 113,837,599,825.11
  5. Step 5: Solve for x
    x = 113,837,599,825.11/357,840.78
  6. Step 6: Final answer
    x = 318,123.61

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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.