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Finding the Fourth Proportional to 390,075.40, 585,113.10 and 327,089.80

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Solution

The fourth proportional to 390,075.40, 585,113.10 and 327,089.80 is: 490,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,075.40 : 585,113.10 = 327,089.80 : x
  2. Step 2: Convert to fraction form
    390,075.40/585,113.10 = 327,089.80/x
  3. Step 3: Cross multiply
    390,075.40x = 585,113.10 × 327,089.80
  4. Step 4: Simplify right side
    390,075.40x = 191,384,526,856.38
  5. Step 5: Solve for x
    x = 191,384,526,856.38/390,075.40
  6. Step 6: Final answer
    x = 490,634.70

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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.