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Finding the Fourth Proportional to 518,610, 778,046.28 and 144,633

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Solution

The fourth proportional to 518,610, 778,046.28 and 144,633 is: 216,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,610 : 778,046.28 = 144,633 : x
  2. Step 2: Convert to fraction form
    518,610/778,046.28 = 144,633/x
  3. Step 3: Cross multiply
    518,610x = 778,046.28 × 144,633
  4. Step 4: Simplify right side
    518,610x = 112,531,167,615.24
  5. Step 5: Solve for x
    x = 112,531,167,615.24/518,610
  6. Step 6: Final answer
    x = 216,986.11

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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.