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Finding the Fourth Proportional to 438,390.36, 657,509.94 and 122,772.24

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Solution

The fourth proportional to 438,390.36, 657,509.94 and 122,772.24 is: 184,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,390.36 : 657,509.94 = 122,772.24 : x
  2. Step 2: Convert to fraction form
    438,390.36/657,509.94 = 122,772.24/x
  3. Step 3: Cross multiply
    438,390.36x = 657,509.94 × 122,772.24
  4. Step 4: Simplify right side
    438,390.36x = 80,723,968,156.07
  5. Step 5: Solve for x
    x = 80,723,968,156.07/438,390.36
  6. Step 6: Final answer
    x = 184,137.19

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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.