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Finding the Fourth Proportional to 354,237.76, 531,259.28 and 211,970.96

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Solution

The fourth proportional to 354,237.76, 531,259.28 and 211,970.96 is: 317,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,237.76 : 531,259.28 = 211,970.96 : x
  2. Step 2: Convert to fraction form
    354,237.76/531,259.28 = 211,970.96/x
  3. Step 3: Cross multiply
    354,237.76x = 531,259.28 × 211,970.96
  4. Step 4: Simplify right side
    354,237.76x = 112,611,539,590.51
  5. Step 5: Solve for x
    x = 112,611,539,590.51/354,237.76
  6. Step 6: Final answer
    x = 317,898.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.