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Finding the Fourth Proportional to 30,266.40, 42,416.70 and 30,266.40

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Solution

The fourth proportional to 30,266.40, 42,416.70 and 30,266.40 is: 42,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.40 : 42,416.70 = 30,266.40 : x
  2. Step 2: Convert to fraction form
    30,266.40/42,416.70 = 30,266.40/x
  3. Step 3: Cross multiply
    30,266.40x = 42,416.70 × 30,266.40
  4. Step 4: Simplify right side
    30,266.40x = 1,283,800,808.88
  5. Step 5: Solve for x
    x = 1,283,800,808.88/30,266.40
  6. Step 6: Final answer
    x = 42,416.70

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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.