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Finding the Fourth Proportional to 310,194.91, 428,038.73 and 174,197.93

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Solution

The fourth proportional to 310,194.91, 428,038.73 and 174,197.93 is: 240,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,194.91 : 428,038.73 = 174,197.93 : x
  2. Step 2: Convert to fraction form
    310,194.91/428,038.73 = 174,197.93/x
  3. Step 3: Cross multiply
    310,194.91x = 428,038.73 × 174,197.93
  4. Step 4: Simplify right side
    310,194.91x = 74,563,460,725.83
  5. Step 5: Solve for x
    x = 74,563,460,725.83/310,194.91
  6. Step 6: Final answer
    x = 240,376.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.