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Finding the Fourth Proportional to 311,411.40, 429,741.90 and 190,543.20

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Solution

The fourth proportional to 311,411.40, 429,741.90 and 190,543.20 is: 262,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,411.40 : 429,741.90 = 190,543.20 : x
  2. Step 2: Convert to fraction form
    311,411.40/429,741.90 = 190,543.20/x
  3. Step 3: Cross multiply
    311,411.40x = 429,741.90 × 190,543.20
  4. Step 4: Simplify right side
    311,411.40x = 81,884,396,800.08
  5. Step 5: Solve for x
    x = 81,884,396,800.08/311,411.40
  6. Step 6: Final answer
    x = 262,946.05

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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.