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Finding the Fourth Proportional to 292,247.88, 438,019.32 and 142,263.36

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Solution

The fourth proportional to 292,247.88, 438,019.32 and 142,263.36 is: 213,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,247.88 : 438,019.32 = 142,263.36 : x
  2. Step 2: Convert to fraction form
    292,247.88/438,019.32 = 142,263.36/x
  3. Step 3: Cross multiply
    292,247.88x = 438,019.32 × 142,263.36
  4. Step 4: Simplify right side
    292,247.88x = 62,314,100,208.12
  5. Step 5: Solve for x
    x = 62,314,100,208.12/292,247.88
  6. Step 6: Final answer
    x = 213,223.45

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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.