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Finding the Fourth Proportional to 513,042.64, 707,997.72 and 286,688.16

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Solution

The fourth proportional to 513,042.64, 707,997.72 and 286,688.16 is: 395,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,042.64 : 707,997.72 = 286,688.16 : x
  2. Step 2: Convert to fraction form
    513,042.64/707,997.72 = 286,688.16/x
  3. Step 3: Cross multiply
    513,042.64x = 707,997.72 × 286,688.16
  4. Step 4: Simplify right side
    513,042.64x = 202,974,563,631.00
  5. Step 5: Solve for x
    x = 202,974,563,631.00/513,042.64
  6. Step 6: Final answer
    x = 395,629.03

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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.