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Finding the Fourth Proportional to 361,188.86, 497,300.19 and 318,141.50

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Solution

The fourth proportional to 361,188.86, 497,300.19 and 318,141.50 is: 438,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,188.86 : 497,300.19 = 318,141.50 : x
  2. Step 2: Convert to fraction form
    361,188.86/497,300.19 = 318,141.50/x
  3. Step 3: Cross multiply
    361,188.86x = 497,300.19 × 318,141.50
  4. Step 4: Simplify right side
    361,188.86x = 158,211,828,396.89
  5. Step 5: Solve for x
    x = 158,211,828,396.89/361,188.86
  6. Step 6: Final answer
    x = 438,030.75

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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.