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Finding the Fourth Proportional to 513,007.64, 707,949.03 and 286,653.32

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Solution

The fourth proportional to 513,007.64, 707,949.03 and 286,653.32 is: 395,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,007.64 : 707,949.03 = 286,653.32 : x
  2. Step 2: Convert to fraction form
    513,007.64/707,949.03 = 286,653.32/x
  3. Step 3: Cross multiply
    513,007.64x = 707,949.03 × 286,653.32
  4. Step 4: Simplify right side
    513,007.64x = 202,935,939,840.28
  5. Step 5: Solve for x
    x = 202,935,939,840.28/513,007.64
  6. Step 6: Final answer
    x = 395,580.74

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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.