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Finding the Fourth Proportional to 460,978.94, 636,118.45 and 257,021.15

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Solution

The fourth proportional to 460,978.94, 636,118.45 and 257,021.15 is: 354,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,978.94 : 636,118.45 = 257,021.15 : x
  2. Step 2: Convert to fraction form
    460,978.94/636,118.45 = 257,021.15/x
  3. Step 3: Cross multiply
    460,978.94x = 636,118.45 × 257,021.15
  4. Step 4: Simplify right side
    460,978.94x = 163,495,891,732.07
  5. Step 5: Solve for x
    x = 163,495,891,732.07/460,978.94
  6. Step 6: Final answer
    x = 354,671.06

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