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Finding the Fourth Proportional to 532,666.80, 735,075.30 and 290,949.30

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Solution

The fourth proportional to 532,666.80, 735,075.30 and 290,949.30 is: 401,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,666.80 : 735,075.30 = 290,949.30 : x
  2. Step 2: Convert to fraction form
    532,666.80/735,075.30 = 290,949.30/x
  3. Step 3: Cross multiply
    532,666.80x = 735,075.30 × 290,949.30
  4. Step 4: Simplify right side
    532,666.80x = 213,869,643,982.29
  5. Step 5: Solve for x
    x = 213,869,643,982.29/532,666.80
  6. Step 6: Final answer
    x = 401,507.37

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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.