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Finding the Fourth Proportional to 431,752.48, 643,287.80 and 407,608

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Solution

The fourth proportional to 431,752.48, 643,287.80 and 407,608 is: 607,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,752.48 : 643,287.80 = 407,608 : x
  2. Step 2: Convert to fraction form
    431,752.48/643,287.80 = 407,608/x
  3. Step 3: Cross multiply
    431,752.48x = 643,287.80 × 407,608
  4. Step 4: Simplify right side
    431,752.48x = 262,209,253,582.40
  5. Step 5: Solve for x
    x = 262,209,253,582.40/431,752.48
  6. Step 6: Final answer
    x = 607,313.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.