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Finding the Fourth Proportional to 631,782.40, 947,212.80 and 257,612.80

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Solution

The fourth proportional to 631,782.40, 947,212.80 and 257,612.80 is: 386,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,782.40 : 947,212.80 = 257,612.80 : x
  2. Step 2: Convert to fraction form
    631,782.40/947,212.80 = 257,612.80/x
  3. Step 3: Cross multiply
    631,782.40x = 947,212.80 × 257,612.80
  4. Step 4: Simplify right side
    631,782.40x = 244,014,141,603.84
  5. Step 5: Solve for x
    x = 244,014,141,603.84/631,782.40
  6. Step 6: Final answer
    x = 386,231.31

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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.