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Finding the Fourth Proportional to 306,000.30, 457,963.65 and 306,000.30

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Solution

The fourth proportional to 306,000.30, 457,963.65 and 306,000.30 is: 457,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,000.30 : 457,963.65 = 306,000.30 : x
  2. Step 2: Convert to fraction form
    306,000.30/457,963.65 = 306,000.30/x
  3. Step 3: Cross multiply
    306,000.30x = 457,963.65 × 306,000.30
  4. Step 4: Simplify right side
    306,000.30x = 140,137,014,289.10
  5. Step 5: Solve for x
    x = 140,137,014,289.10/306,000.30
  6. Step 6: Final answer
    x = 457,963.65

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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.