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Finding the Fourth Proportional to 438,918, 605,706.84 and 237,714

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Solution

The fourth proportional to 438,918, 605,706.84 and 237,714 is: 328,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,918 : 605,706.84 = 237,714 : x
  2. Step 2: Convert to fraction form
    438,918/605,706.84 = 237,714/x
  3. Step 3: Cross multiply
    438,918x = 605,706.84 × 237,714
  4. Step 4: Simplify right side
    438,918x = 143,984,995,763.76
  5. Step 5: Solve for x
    x = 143,984,995,763.76/438,918
  6. Step 6: Final answer
    x = 328,045.32

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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.