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Finding the Fourth Proportional to 288,990.48, 433,378.20 and 99,397.63

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Solution

The fourth proportional to 288,990.48, 433,378.20 and 99,397.63 is: 149,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,990.48 : 433,378.20 = 99,397.63 : x
  2. Step 2: Convert to fraction form
    288,990.48/433,378.20 = 99,397.63/x
  3. Step 3: Cross multiply
    288,990.48x = 433,378.20 × 99,397.63
  4. Step 4: Simplify right side
    288,990.48x = 43,076,766,329.02
  5. Step 5: Solve for x
    x = 43,076,766,329.02/288,990.48
  6. Step 6: Final answer
    x = 149,059.46

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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.