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Finding the Fourth Proportional to 509,075.87, 702,546.77 and 291,352.88

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Solution

The fourth proportional to 509,075.87, 702,546.77 and 291,352.88 is: 402,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,075.87 : 702,546.77 = 291,352.88 : x
  2. Step 2: Convert to fraction form
    509,075.87/702,546.77 = 291,352.88/x
  3. Step 3: Cross multiply
    509,075.87x = 702,546.77 × 291,352.88
  4. Step 4: Simplify right side
    509,075.87x = 204,689,027,258.95
  5. Step 5: Solve for x
    x = 204,689,027,258.95/509,075.87
  6. Step 6: Final answer
    x = 402,079.61

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1.5x scale

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.