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Finding the Fourth Proportional to 326,075.80, 489,113.70 and 298,082.20

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Solution

The fourth proportional to 326,075.80, 489,113.70 and 298,082.20 is: 447,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,075.80 : 489,113.70 = 298,082.20 : x
  2. Step 2: Convert to fraction form
    326,075.80/489,113.70 = 298,082.20/x
  3. Step 3: Cross multiply
    326,075.80x = 489,113.70 × 298,082.20
  4. Step 4: Simplify right side
    326,075.80x = 145,796,087,746.14
  5. Step 5: Solve for x
    x = 145,796,087,746.14/326,075.80
  6. Step 6: Final answer
    x = 447,123.30

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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.