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Finding the Fourth Proportional to 389,224.50, 537,129.87 and 210,376.50

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Solution

The fourth proportional to 389,224.50, 537,129.87 and 210,376.50 is: 290,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,224.50 : 537,129.87 = 210,376.50 : x
  2. Step 2: Convert to fraction form
    389,224.50/537,129.87 = 210,376.50/x
  3. Step 3: Cross multiply
    389,224.50x = 537,129.87 × 210,376.50
  4. Step 4: Simplify right side
    389,224.50x = 112,999,502,096.06
  5. Step 5: Solve for x
    x = 112,999,502,096.06/389,224.50
  6. Step 6: Final answer
    x = 290,319.60

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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.