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Finding the Fourth Proportional to 507,609.16, 700,500.64 and 281,254.66

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Solution

The fourth proportional to 507,609.16, 700,500.64 and 281,254.66 is: 388,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,609.16 : 700,500.64 = 281,254.66 : x
  2. Step 2: Convert to fraction form
    507,609.16/700,500.64 = 281,254.66/x
  3. Step 3: Cross multiply
    507,609.16x = 700,500.64 × 281,254.66
  4. Step 4: Simplify right side
    507,609.16x = 197,019,069,332.98
  5. Step 5: Solve for x
    x = 197,019,069,332.98/507,609.16
  6. Step 6: Final answer
    x = 388,131.43

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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.