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Finding the Fourth Proportional to 397,541.79, 548,810.91 and 306,693.81

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Solution

The fourth proportional to 397,541.79, 548,810.91 and 306,693.81 is: 423,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,541.79 : 548,810.91 = 306,693.81 : x
  2. Step 2: Convert to fraction form
    397,541.79/548,810.91 = 306,693.81/x
  3. Step 3: Cross multiply
    397,541.79x = 548,810.91 × 306,693.81
  4. Step 4: Simplify right side
    397,541.79x = 168,316,908,957.47
  5. Step 5: Solve for x
    x = 168,316,908,957.47/397,541.79
  6. Step 6: Final answer
    x = 423,394.25

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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.