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Finding the Fourth Proportional to 443,918, 612,606.88 and 242,714

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Solution

The fourth proportional to 443,918, 612,606.88 and 242,714 is: 334,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,918 : 612,606.88 = 242,714 : x
  2. Step 2: Convert to fraction form
    443,918/612,606.88 = 242,714/x
  3. Step 3: Cross multiply
    443,918x = 612,606.88 × 242,714
  4. Step 4: Simplify right side
    443,918x = 148,688,266,272.32
  5. Step 5: Solve for x
    x = 148,688,266,272.32/443,918
  6. Step 6: Final answer
    x = 334,945.34

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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.