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Finding the Fourth Proportional to 661,905.09, 913,746.29 and 407,474.37

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Solution

The fourth proportional to 661,905.09, 913,746.29 and 407,474.37 is: 562,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,905.09 : 913,746.29 = 407,474.37 : x
  2. Step 2: Convert to fraction form
    661,905.09/913,746.29 = 407,474.37/x
  3. Step 3: Cross multiply
    661,905.09x = 913,746.29 × 407,474.37
  4. Step 4: Simplify right side
    661,905.09x = 372,328,191,820.22
  5. Step 5: Solve for x
    x = 372,328,191,820.22/661,905.09
  6. Step 6: Final answer
    x = 562,509.94

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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.