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Finding the Fourth Proportional to 387,672.60, 581,681.70 and 177,202.20

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Solution

The fourth proportional to 387,672.60, 581,681.70 and 177,202.20 is: 265,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,672.60 : 581,681.70 = 177,202.20 : x
  2. Step 2: Convert to fraction form
    387,672.60/581,681.70 = 177,202.20/x
  3. Step 3: Cross multiply
    387,672.60x = 581,681.70 × 177,202.20
  4. Step 4: Simplify right side
    387,672.60x = 103,075,276,939.74
  5. Step 5: Solve for x
    x = 103,075,276,939.74/387,672.60
  6. Step 6: Final answer
    x = 265,882.29

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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.