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Finding the Fourth Proportional to 459,866.80, 634,636.92 and 258,662.80

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Solution

The fourth proportional to 459,866.80, 634,636.92 and 258,662.80 is: 356,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,866.80 : 634,636.92 = 258,662.80 : x
  2. Step 2: Convert to fraction form
    459,866.80/634,636.92 = 258,662.80/x
  3. Step 3: Cross multiply
    459,866.80x = 634,636.92 × 258,662.80
  4. Step 4: Simplify right side
    459,866.80x = 164,156,962,710.58
  5. Step 5: Solve for x
    x = 164,156,962,710.58/459,866.80
  6. Step 6: Final answer
    x = 356,966.33

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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.