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Finding the Fourth Proportional to 306,019.70, 459,029.55 and 257,030.90

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Solution

The fourth proportional to 306,019.70, 459,029.55 and 257,030.90 is: 385,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,019.70 : 459,029.55 = 257,030.90 : x
  2. Step 2: Convert to fraction form
    306,019.70/459,029.55 = 257,030.90/x
  3. Step 3: Cross multiply
    306,019.70x = 459,029.55 × 257,030.90
  4. Step 4: Simplify right side
    306,019.70x = 117,984,778,363.10
  5. Step 5: Solve for x
    x = 117,984,778,363.10/306,019.70
  6. Step 6: Final answer
    x = 385,546.35

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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.