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Finding the Fourth Proportional to 305,272.59, 457,978.64 and 105,592.81

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Solution

The fourth proportional to 305,272.59, 457,978.64 and 105,592.81 is: 158,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,272.59 : 457,978.64 = 105,592.81 : x
  2. Step 2: Convert to fraction form
    305,272.59/457,978.64 = 105,592.81/x
  3. Step 3: Cross multiply
    305,272.59x = 457,978.64 × 105,592.81
  4. Step 4: Simplify right side
    305,272.59x = 48,359,249,844.67
  5. Step 5: Solve for x
    x = 48,359,249,844.67/305,272.59
  6. Step 6: Final answer
    x = 158,413.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.