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Finding the Fourth Proportional to 288,521.40, 432,782.10 and 164,105.40

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Solution

The fourth proportional to 288,521.40, 432,782.10 and 164,105.40 is: 246,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,521.40 : 432,782.10 = 164,105.40 : x
  2. Step 2: Convert to fraction form
    288,521.40/432,782.10 = 164,105.40/x
  3. Step 3: Cross multiply
    288,521.40x = 432,782.10 × 164,105.40
  4. Step 4: Simplify right side
    288,521.40x = 71,021,879,633.34
  5. Step 5: Solve for x
    x = 71,021,879,633.34/288,521.40
  6. Step 6: Final answer
    x = 246,158.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.