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Finding the Fourth Proportional to 438,509.92, 657,706.44 and 139,020.77

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Solution

The fourth proportional to 438,509.92, 657,706.44 and 139,020.77 is: 208,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,509.92 : 657,706.44 = 139,020.77 : x
  2. Step 2: Convert to fraction form
    438,509.92/657,706.44 = 139,020.77/x
  3. Step 3: Cross multiply
    438,509.92x = 657,706.44 × 139,020.77
  4. Step 4: Simplify right side
    438,509.92x = 91,434,855,722.76
  5. Step 5: Solve for x
    x = 91,434,855,722.76/438,509.92
  6. Step 6: Final answer
    x = 208,512.63

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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.