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Finding the Fourth Proportional to 315,413.76, 435,483.36 and 242,687.28

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Solution

The fourth proportional to 315,413.76, 435,483.36 and 242,687.28 is: 335,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,413.76 : 435,483.36 = 242,687.28 : x
  2. Step 2: Convert to fraction form
    315,413.76/435,483.36 = 242,687.28/x
  3. Step 3: Cross multiply
    315,413.76x = 435,483.36 × 242,687.28
  4. Step 4: Simplify right side
    315,413.76x = 105,686,272,123.66
  5. Step 5: Solve for x
    x = 105,686,272,123.66/315,413.76
  6. Step 6: Final answer
    x = 335,071.85

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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.