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Finding the Fourth Proportional to 507,904.86, 700,861.59 and 281,531.10

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Solution

The fourth proportional to 507,904.86, 700,861.59 and 281,531.10 is: 388,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,904.86 : 700,861.59 = 281,531.10 : x
  2. Step 2: Convert to fraction form
    507,904.86/700,861.59 = 281,531.10/x
  3. Step 3: Cross multiply
    507,904.86x = 700,861.59 × 281,531.10
  4. Step 4: Simplify right side
    507,904.86x = 197,314,334,380.45
  5. Step 5: Solve for x
    x = 197,314,334,380.45/507,904.86
  6. Step 6: Final answer
    x = 388,486.80

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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.