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Finding the Fourth Proportional to 513,033.48, 707,984.46 and 286,678.98

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Solution

The fourth proportional to 513,033.48, 707,984.46 and 286,678.98 is: 395,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,033.48 : 707,984.46 = 286,678.98 : x
  2. Step 2: Convert to fraction form
    513,033.48/707,984.46 = 286,678.98/x
  3. Step 3: Cross multiply
    513,033.48x = 707,984.46 × 286,678.98
  4. Step 4: Simplify right side
    513,033.48x = 202,964,262,848.65
  5. Step 5: Solve for x
    x = 202,964,262,848.65/513,033.48
  6. Step 6: Final answer
    x = 395,616.02

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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.