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Finding the Fourth Proportional to 518,954.04, 778,476.42 and 144,978.12

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Solution

The fourth proportional to 518,954.04, 778,476.42 and 144,978.12 is: 217,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,954.04 : 778,476.42 = 144,978.12 : x
  2. Step 2: Convert to fraction form
    518,954.04/778,476.42 = 144,978.12/x
  3. Step 3: Cross multiply
    518,954.04x = 778,476.42 × 144,978.12
  4. Step 4: Simplify right side
    518,954.04x = 112,862,047,835.93
  5. Step 5: Solve for x
    x = 112,862,047,835.93/518,954.04
  6. Step 6: Final answer
    x = 217,479.85

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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.