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Finding the Fourth Proportional to 30,906.40, 43,312.70 and 30,906.40

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Solution

The fourth proportional to 30,906.40, 43,312.70 and 30,906.40 is: 43,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.40 : 43,312.70 = 30,906.40 : x
  2. Step 2: Convert to fraction form
    30,906.40/43,312.70 = 30,906.40/x
  3. Step 3: Cross multiply
    30,906.40x = 43,312.70 × 30,906.40
  4. Step 4: Simplify right side
    30,906.40x = 1,338,639,631.28
  5. Step 5: Solve for x
    x = 1,338,639,631.28/30,906.40
  6. Step 6: Final answer
    x = 43,312.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.