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Finding the Fourth Proportional to 431,740.68, 595,802.70 and 238,144.05

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Solution

The fourth proportional to 431,740.68, 595,802.70 and 238,144.05 is: 328,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,740.68 : 595,802.70 = 238,144.05 : x
  2. Step 2: Convert to fraction form
    431,740.68/595,802.70 = 238,144.05/x
  3. Step 3: Cross multiply
    431,740.68x = 595,802.70 × 238,144.05
  4. Step 4: Simplify right side
    431,740.68x = 141,886,867,978.94
  5. Step 5: Solve for x
    x = 141,886,867,978.94/431,740.68
  6. Step 6: Final answer
    x = 328,639.10

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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.