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Finding the Fourth Proportional to 313,298.78, 432,340.74 and 170,055.80

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Solution

The fourth proportional to 313,298.78, 432,340.74 and 170,055.80 is: 234,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,298.78 : 432,340.74 = 170,055.80 : x
  2. Step 2: Convert to fraction form
    313,298.78/432,340.74 = 170,055.80/x
  3. Step 3: Cross multiply
    313,298.78x = 432,340.74 × 170,055.80
  4. Step 4: Simplify right side
    313,298.78x = 73,522,050,413.29
  5. Step 5: Solve for x
    x = 73,522,050,413.29/313,298.78
  6. Step 6: Final answer
    x = 234,670.72

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1.5x scale

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.