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Finding the Fourth Proportional to 648,016.30, 970,323.45 and 457,447.60

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Solution

The fourth proportional to 648,016.30, 970,323.45 and 457,447.60 is: 684,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,016.30 : 970,323.45 = 457,447.60 : x
  2. Step 2: Convert to fraction form
    648,016.30/970,323.45 = 457,447.60/x
  3. Step 3: Cross multiply
    648,016.30x = 970,323.45 × 457,447.60
  4. Step 4: Simplify right side
    648,016.30x = 443,872,133,426.22
  5. Step 5: Solve for x
    x = 443,872,133,426.22/648,016.30
  6. Step 6: Final answer
    x = 684,970.63

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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.