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Finding the Fourth Proportional to 306,002.10, 459,003.15 and 285,266.10

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Solution

The fourth proportional to 306,002.10, 459,003.15 and 285,266.10 is: 427,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,002.10 : 459,003.15 = 285,266.10 : x
  2. Step 2: Convert to fraction form
    306,002.10/459,003.15 = 285,266.10/x
  3. Step 3: Cross multiply
    306,002.10x = 459,003.15 × 285,266.10
  4. Step 4: Simplify right side
    306,002.10x = 130,938,038,488.22
  5. Step 5: Solve for x
    x = 130,938,038,488.22/306,002.10
  6. Step 6: Final answer
    x = 427,899.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.