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Finding the Fourth Proportional to 509,482.25, 702,344.50 and 356,044.06

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Solution

The fourth proportional to 509,482.25, 702,344.50 and 356,044.06 is: 490,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,482.25 : 702,344.50 = 356,044.06 : x
  2. Step 2: Convert to fraction form
    509,482.25/702,344.50 = 356,044.06/x
  3. Step 3: Cross multiply
    509,482.25x = 702,344.50 × 356,044.06
  4. Step 4: Simplify right side
    509,482.25x = 250,065,587,298.67
  5. Step 5: Solve for x
    x = 250,065,587,298.67/509,482.25
  6. Step 6: Final answer
    x = 490,822.96

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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.