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Finding the Fourth Proportional to 409,024.93, 613,565.42 and 139,043.21

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Solution

The fourth proportional to 409,024.93, 613,565.42 and 139,043.21 is: 208,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,024.93 : 613,565.42 = 139,043.21 : x
  2. Step 2: Convert to fraction form
    409,024.93/613,565.42 = 139,043.21/x
  3. Step 3: Cross multiply
    409,024.93x = 613,565.42 × 139,043.21
  4. Step 4: Simplify right side
    409,024.93x = 85,312,102,951.93
  5. Step 5: Solve for x
    x = 85,312,102,951.93/409,024.93
  6. Step 6: Final answer
    x = 208,574.34

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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.