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Finding the Fourth Proportional to 357,023.52, 492,623.64 and 229,681.80

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Solution

The fourth proportional to 357,023.52, 492,623.64 and 229,681.80 is: 316,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,023.52 : 492,623.64 = 229,681.80 : x
  2. Step 2: Convert to fraction form
    357,023.52/492,623.64 = 229,681.80/x
  3. Step 3: Cross multiply
    357,023.52x = 492,623.64 × 229,681.80
  4. Step 4: Simplify right side
    357,023.52x = 113,146,684,357.75
  5. Step 5: Solve for x
    x = 113,146,684,357.75/357,023.52
  6. Step 6: Final answer
    x = 316,916.61

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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.