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Finding the Fourth Proportional to 382,072.47, 573,075.63 and 129,347.61

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Solution

The fourth proportional to 382,072.47, 573,075.63 and 129,347.61 is: 194,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,072.47 : 573,075.63 = 129,347.61 : x
  2. Step 2: Convert to fraction form
    382,072.47/573,075.63 = 129,347.61/x
  3. Step 3: Cross multiply
    382,072.47x = 573,075.63 × 129,347.61
  4. Step 4: Simplify right side
    382,072.47x = 74,125,963,089.74
  5. Step 5: Solve for x
    x = 74,125,963,089.74/382,072.47
  6. Step 6: Final answer
    x = 194,010.22

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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.