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Finding the Fourth Proportional to 288,464.33, 430,897.64 and 213,730.44

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Solution

The fourth proportional to 288,464.33, 430,897.64 and 213,730.44 is: 319,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,464.33 : 430,897.64 = 213,730.44 : x
  2. Step 2: Convert to fraction form
    288,464.33/430,897.64 = 213,730.44/x
  3. Step 3: Cross multiply
    288,464.33x = 430,897.64 × 213,730.44
  4. Step 4: Simplify right side
    288,464.33x = 92,095,942,192.16
  5. Step 5: Solve for x
    x = 92,095,942,192.16/288,464.33
  6. Step 6: Final answer
    x = 319,262.84

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1.5x scale

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.