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Finding the Fourth Proportional to 643,999.92, 964,743.24 and 421,710

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Solution

The fourth proportional to 643,999.92, 964,743.24 and 421,710 is: 631,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,999.92 : 964,743.24 = 421,710 : x
  2. Step 2: Convert to fraction form
    643,999.92/964,743.24 = 421,710/x
  3. Step 3: Cross multiply
    643,999.92x = 964,743.24 × 421,710
  4. Step 4: Simplify right side
    643,999.92x = 406,841,871,740.40
  5. Step 5: Solve for x
    x = 406,841,871,740.40/643,999.92
  6. Step 6: Final answer
    x = 631,742.12

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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.