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Finding the Fourth Proportional to 436,581, 654,980.49 and 152,275.64

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Solution

The fourth proportional to 436,581, 654,980.49 and 152,275.64 is: 228,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,581 : 654,980.49 = 152,275.64 : x
  2. Step 2: Convert to fraction form
    436,581/654,980.49 = 152,275.64/x
  3. Step 3: Cross multiply
    436,581x = 654,980.49 × 152,275.64
  4. Step 4: Simplify right side
    436,581x = 99,737,573,302.26
  5. Step 5: Solve for x
    x = 99,737,573,302.26/436,581
  6. Step 6: Final answer
    x = 228,451.47

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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.