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Finding the Fourth Proportional to 507,843.09, 700,873.58 and 290,084.30

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Solution

The fourth proportional to 507,843.09, 700,873.58 and 290,084.30 is: 400,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,843.09 : 700,873.58 = 290,084.30 : x
  2. Step 2: Convert to fraction form
    507,843.09/700,873.58 = 290,084.30/x
  3. Step 3: Cross multiply
    507,843.09x = 700,873.58 × 290,084.30
  4. Step 4: Simplify right side
    507,843.09x = 203,312,416,888.01
  5. Step 5: Solve for x
    x = 203,312,416,888.01/507,843.09
  6. Step 6: Final answer
    x = 400,344.95

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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.