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Finding the Fourth Proportional to 306,004.55, 457,970.02 and 306,004.55

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Solution

The fourth proportional to 306,004.55, 457,970.02 and 306,004.55 is: 457,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,004.55 : 457,970.02 = 306,004.55 : x
  2. Step 2: Convert to fraction form
    306,004.55/457,970.02 = 306,004.55/x
  3. Step 3: Cross multiply
    306,004.55x = 457,970.02 × 306,004.55
  4. Step 4: Simplify right side
    306,004.55x = 140,140,909,883.59
  5. Step 5: Solve for x
    x = 140,140,909,883.59/306,004.55
  6. Step 6: Final answer
    x = 457,970.02

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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.