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Finding the Fourth Proportional to 443,865.12, 612,533.76 and 242,661.12

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Solution

The fourth proportional to 443,865.12, 612,533.76 and 242,661.12 is: 334,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,865.12 : 612,533.76 = 242,661.12 : x
  2. Step 2: Convert to fraction form
    443,865.12/612,533.76 = 242,661.12/x
  3. Step 3: Cross multiply
    443,865.12x = 612,533.76 × 242,661.12
  4. Step 4: Simplify right side
    443,865.12x = 148,638,128,239.41
  5. Step 5: Solve for x
    x = 148,638,128,239.41/443,865.12
  6. Step 6: Final answer
    x = 334,872.29

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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.