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Finding the Fourth Proportional to 443,782.13, 612,419.33 and 242,578.13

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Solution

The fourth proportional to 443,782.13, 612,419.33 and 242,578.13 is: 334,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,782.13 : 612,419.33 = 242,578.13 : x
  2. Step 2: Convert to fraction form
    443,782.13/612,419.33 = 242,578.13/x
  3. Step 3: Cross multiply
    443,782.13x = 612,419.33 × 242,578.13
  4. Step 4: Simplify right side
    443,782.13x = 148,559,533,391.60
  5. Step 5: Solve for x
    x = 148,559,533,391.60/443,782.13
  6. Step 6: Final answer
    x = 334,757.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.