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Finding the Fourth Proportional to 431,420.48, 596,436.38 and 323,803.68

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Solution

The fourth proportional to 431,420.48, 596,436.38 and 323,803.68 is: 447,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,420.48 : 596,436.38 = 323,803.68 : x
  2. Step 2: Convert to fraction form
    431,420.48/596,436.38 = 323,803.68/x
  3. Step 3: Cross multiply
    431,420.48x = 596,436.38 × 323,803.68
  4. Step 4: Simplify right side
    431,420.48x = 193,128,292,088.49
  5. Step 5: Solve for x
    x = 193,128,292,088.49/431,420.48
  6. Step 6: Final answer
    x = 447,656.76

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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.