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Finding the Fourth Proportional to 507,827.66, 700,797.29 and 278,397.59

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Solution

The fourth proportional to 507,827.66, 700,797.29 and 278,397.59 is: 384,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,827.66 : 700,797.29 = 278,397.59 : x
  2. Step 2: Convert to fraction form
    507,827.66/700,797.29 = 278,397.59/x
  3. Step 3: Cross multiply
    507,827.66x = 700,797.29 × 278,397.59
  4. Step 4: Simplify right side
    507,827.66x = 195,100,271,718.56
  5. Step 5: Solve for x
    x = 195,100,271,718.56/507,827.66
  6. Step 6: Final answer
    x = 384,185.99

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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.