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Finding the Fourth Proportional to 306,002.55, 457,967.03 and 306,002.55

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Solution

The fourth proportional to 306,002.55, 457,967.03 and 306,002.55 is: 457,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,002.55 : 457,967.03 = 306,002.55 : x
  2. Step 2: Convert to fraction form
    306,002.55/457,967.03 = 306,002.55/x
  3. Step 3: Cross multiply
    306,002.55x = 457,967.03 × 306,002.55
  4. Step 4: Simplify right side
    306,002.55x = 140,139,077,465.91
  5. Step 5: Solve for x
    x = 140,139,077,465.91/306,002.55
  6. Step 6: Final answer
    x = 457,967.03

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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.