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Finding the Fourth Proportional to 314,362.94, 434,210.36 and 228,184.20

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Solution

The fourth proportional to 314,362.94, 434,210.36 and 228,184.20 is: 315,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,362.94 : 434,210.36 = 228,184.20 : x
  2. Step 2: Convert to fraction form
    314,362.94/434,210.36 = 228,184.20/x
  3. Step 3: Cross multiply
    314,362.94x = 434,210.36 × 228,184.20
  4. Step 4: Simplify right side
    314,362.94x = 99,079,942,487.39
  5. Step 5: Solve for x
    x = 99,079,942,487.39/314,362.94
  6. Step 6: Final answer
    x = 315,176.92

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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.