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Finding the Fourth Proportional to 288,464.36, 430,897.69 and 213,730.47

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Solution

The fourth proportional to 288,464.36, 430,897.69 and 213,730.47 is: 319,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,464.36 : 430,897.69 = 213,730.47 : x
  2. Step 2: Convert to fraction form
    288,464.36/430,897.69 = 213,730.47/x
  3. Step 3: Cross multiply
    288,464.36x = 430,897.69 × 213,730.47
  4. Step 4: Simplify right side
    288,464.36x = 92,095,964,736.96
  5. Step 5: Solve for x
    x = 92,095,964,736.96/288,464.36
  6. Step 6: Final answer
    x = 319,262.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.