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Finding the Fourth Proportional to 509,498.40, 702,366.72 and 356,060.20

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Solution

The fourth proportional to 509,498.40, 702,366.72 and 356,060.20 is: 490,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,498.40 : 702,366.72 = 356,060.20 : x
  2. Step 2: Convert to fraction form
    509,498.40/702,366.72 = 356,060.20/x
  3. Step 3: Cross multiply
    509,498.40x = 702,366.72 × 356,060.20
  4. Step 4: Simplify right side
    509,498.40x = 250,084,834,796.54
  5. Step 5: Solve for x
    x = 250,084,834,796.54/509,498.40
  6. Step 6: Final answer
    x = 490,845.18

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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.