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Finding the Fourth Proportional to 292,643.15, 438,933.20 and 198,477.81

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Solution

The fourth proportional to 292,643.15, 438,933.20 and 198,477.81 is: 297,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,643.15 : 438,933.20 = 198,477.81 : x
  2. Step 2: Convert to fraction form
    292,643.15/438,933.20 = 198,477.81/x
  3. Step 3: Cross multiply
    292,643.15x = 438,933.20 × 198,477.81
  4. Step 4: Simplify right side
    292,643.15x = 87,118,499,279.90
  5. Step 5: Solve for x
    x = 87,118,499,279.90/292,643.15
  6. Step 6: Final answer
    x = 297,695.34

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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.