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Finding the Fourth Proportional to 315,380.21, 435,281.13 and 188,064

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Solution

The fourth proportional to 315,380.21, 435,281.13 and 188,064 is: 259,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,380.21 : 435,281.13 = 188,064 : x
  2. Step 2: Convert to fraction form
    315,380.21/435,281.13 = 188,064/x
  3. Step 3: Cross multiply
    315,380.21x = 435,281.13 × 188,064
  4. Step 4: Simplify right side
    315,380.21x = 81,860,710,432.32
  5. Step 5: Solve for x
    x = 81,860,710,432.32/315,380.21
  6. Step 6: Final answer
    x = 259,561.98

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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.