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Finding the Fourth Proportional to 631,570.60, 947,312.70 and 205,100.20

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Solution

The fourth proportional to 631,570.60, 947,312.70 and 205,100.20 is: 307,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,570.60 : 947,312.70 = 205,100.20 : x
  2. Step 2: Convert to fraction form
    631,570.60/947,312.70 = 205,100.20/x
  3. Step 3: Cross multiply
    631,570.60x = 947,312.70 × 205,100.20
  4. Step 4: Simplify right side
    631,570.60x = 194,294,024,232.54
  5. Step 5: Solve for x
    x = 194,294,024,232.54/631,570.60
  6. Step 6: Final answer
    x = 307,636.27

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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.