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Finding the Fourth Proportional to 346,047.20, 519,143.70 and 109,413.80

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Solution

The fourth proportional to 346,047.20, 519,143.70 and 109,413.80 is: 164,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,047.20 : 519,143.70 = 109,413.80 : x
  2. Step 2: Convert to fraction form
    346,047.20/519,143.70 = 109,413.80/x
  3. Step 3: Cross multiply
    346,047.20x = 519,143.70 × 109,413.80
  4. Step 4: Simplify right side
    346,047.20x = 56,801,484,963.06
  5. Step 5: Solve for x
    x = 56,801,484,963.06/346,047.20
  6. Step 6: Final answer
    x = 164,143.75

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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.