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Finding the Fourth Proportional to 513,027.06, 707,962.86 and 286,672.56

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Solution

The fourth proportional to 513,027.06, 707,962.86 and 286,672.56 is: 395,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,027.06 : 707,962.86 = 286,672.56 : x
  2. Step 2: Convert to fraction form
    513,027.06/707,962.86 = 286,672.56/x
  3. Step 3: Cross multiply
    513,027.06x = 707,962.86 × 286,672.56
  4. Step 4: Simplify right side
    513,027.06x = 202,953,525,461.12
  5. Step 5: Solve for x
    x = 202,953,525,461.12/513,027.06
  6. Step 6: Final answer
    x = 395,600.04

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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.