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Finding the Fourth Proportional to 518,601, 778,032.90 and 144,624

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Solution

The fourth proportional to 518,601, 778,032.90 and 144,624 is: 216,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,601 : 778,032.90 = 144,624 : x
  2. Step 2: Convert to fraction form
    518,601/778,032.90 = 144,624/x
  3. Step 3: Cross multiply
    518,601x = 778,032.90 × 144,624
  4. Step 4: Simplify right side
    518,601x = 112,522,230,129.60
  5. Step 5: Solve for x
    x = 112,522,230,129.60/518,601
  6. Step 6: Final answer
    x = 216,972.64

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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.