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Finding the Fourth Proportional to 292,398.72, 438,601.32 and 105,411.84

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Solution

The fourth proportional to 292,398.72, 438,601.32 and 105,411.84 is: 158,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,398.72 : 438,601.32 = 105,411.84 : x
  2. Step 2: Convert to fraction form
    292,398.72/438,601.32 = 105,411.84/x
  3. Step 3: Cross multiply
    292,398.72x = 438,601.32 × 105,411.84
  4. Step 4: Simplify right side
    292,398.72x = 46,233,772,167.63
  5. Step 5: Solve for x
    x = 46,233,772,167.63/292,398.72
  6. Step 6: Final answer
    x = 158,118.93

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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.