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Finding the Fourth Proportional to 418,731.63, 577,603.41 and 263,435.90

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Solution

The fourth proportional to 418,731.63, 577,603.41 and 263,435.90 is: 363,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,731.63 : 577,603.41 = 263,435.90 : x
  2. Step 2: Convert to fraction form
    418,731.63/577,603.41 = 263,435.90/x
  3. Step 3: Cross multiply
    418,731.63x = 577,603.41 × 263,435.90
  4. Step 4: Simplify right side
    418,731.63x = 152,161,470,280.52
  5. Step 5: Solve for x
    x = 152,161,470,280.52/418,731.63
  6. Step 6: Final answer
    x = 363,386.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.