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Finding the Fourth Proportional to 507,140.43, 699,875.67 and 280,785.93

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Solution

The fourth proportional to 507,140.43, 699,875.67 and 280,785.93 is: 387,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,140.43 : 699,875.67 = 280,785.93 : x
  2. Step 2: Convert to fraction form
    507,140.43/699,875.67 = 280,785.93/x
  3. Step 3: Cross multiply
    507,140.43x = 699,875.67 × 280,785.93
  4. Step 4: Simplify right side
    507,140.43x = 196,515,240,885.32
  5. Step 5: Solve for x
    x = 196,515,240,885.32/507,140.43
  6. Step 6: Final answer
    x = 387,496.70

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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.