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Finding the Fourth Proportional to 513,312.06, 708,393.83 and 286,957.56

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Solution

The fourth proportional to 513,312.06, 708,393.83 and 286,957.56 is: 396,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,312.06 : 708,393.83 = 286,957.56 : x
  2. Step 2: Convert to fraction form
    513,312.06/708,393.83 = 286,957.56/x
  3. Step 3: Cross multiply
    513,312.06x = 708,393.83 × 286,957.56
  4. Step 4: Simplify right side
    513,312.06x = 203,278,963,541.07
  5. Step 5: Solve for x
    x = 203,278,963,541.07/513,312.06
  6. Step 6: Final answer
    x = 396,014.39

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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.