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Finding the Fourth Proportional to 459,409.50, 633,985.11 and 258,205.50

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Solution

The fourth proportional to 459,409.50, 633,985.11 and 258,205.50 is: 356,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,409.50 : 633,985.11 = 258,205.50 : x
  2. Step 2: Convert to fraction form
    459,409.50/633,985.11 = 258,205.50/x
  3. Step 3: Cross multiply
    459,409.50x = 633,985.11 × 258,205.50
  4. Step 4: Simplify right side
    459,409.50x = 163,698,442,320.11
  5. Step 5: Solve for x
    x = 163,698,442,320.11/459,409.50
  6. Step 6: Final answer
    x = 356,323.59

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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.