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Finding the Fourth Proportional to 518,872.64, 778,244.56 and 139,823.01

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Solution

The fourth proportional to 518,872.64, 778,244.56 and 139,823.01 is: 209,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,872.64 : 778,244.56 = 139,823.01 : x
  2. Step 2: Convert to fraction form
    518,872.64/778,244.56 = 139,823.01/x
  3. Step 3: Cross multiply
    518,872.64x = 778,244.56 × 139,823.01
  4. Step 4: Simplify right side
    518,872.64x = 108,816,496,545.77
  5. Step 5: Solve for x
    x = 108,816,496,545.77/518,872.64
  6. Step 6: Final answer
    x = 209,717.16

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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.