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Finding the Fourth Proportional to 507,509.12, 700,306.08 and 281,097.92

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Solution

The fourth proportional to 507,509.12, 700,306.08 and 281,097.92 is: 387,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,509.12 : 700,306.08 = 281,097.92 : x
  2. Step 2: Convert to fraction form
    507,509.12/700,306.08 = 281,097.92/x
  3. Step 3: Cross multiply
    507,509.12x = 700,306.08 × 281,097.92
  4. Step 4: Simplify right side
    507,509.12x = 196,854,582,451.35
  5. Step 5: Solve for x
    x = 196,854,582,451.35/507,509.12
  6. Step 6: Final answer
    x = 387,883.83

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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.