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Finding the Fourth Proportional to 431,243.20, 646,864.80 and 369,035.20

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Solution

The fourth proportional to 431,243.20, 646,864.80 and 369,035.20 is: 553,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,243.20 : 646,864.80 = 369,035.20 : x
  2. Step 2: Convert to fraction form
    431,243.20/646,864.80 = 369,035.20/x
  3. Step 3: Cross multiply
    431,243.20x = 646,864.80 × 369,035.20
  4. Step 4: Simplify right side
    431,243.20x = 238,715,880,840.96
  5. Step 5: Solve for x
    x = 238,715,880,840.96/431,243.20
  6. Step 6: Final answer
    x = 553,552.80

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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.