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Finding the Fourth Proportional to 460,977.64, 636,102.65 and 257,009.38

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Solution

The fourth proportional to 460,977.64, 636,102.65 and 257,009.38 is: 354,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,977.64 : 636,102.65 = 257,009.38 : x
  2. Step 2: Convert to fraction form
    460,977.64/636,102.65 = 257,009.38/x
  3. Step 3: Cross multiply
    460,977.64x = 636,102.65 × 257,009.38
  4. Step 4: Simplify right side
    460,977.64x = 163,484,346,745.12
  5. Step 5: Solve for x
    x = 163,484,346,745.12/460,977.64
  6. Step 6: Final answer
    x = 354,647.02

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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.