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Finding the Fourth Proportional to 631,549.60, 947,281.20 and 205,079.20

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Solution

The fourth proportional to 631,549.60, 947,281.20 and 205,079.20 is: 307,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,549.60 : 947,281.20 = 205,079.20 : x
  2. Step 2: Convert to fraction form
    631,549.60/947,281.20 = 205,079.20/x
  3. Step 3: Cross multiply
    631,549.60x = 947,281.20 × 205,079.20
  4. Step 4: Simplify right side
    631,549.60x = 194,267,670,671.04
  5. Step 5: Solve for x
    x = 194,267,670,671.04/631,549.60
  6. Step 6: Final answer
    x = 307,604.77

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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.