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Finding the Fourth Proportional to 532,091.64, 734,301.94 and 290,389.76

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Solution

The fourth proportional to 532,091.64, 734,301.94 and 290,389.76 is: 400,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,091.64 : 734,301.94 = 290,389.76 : x
  2. Step 2: Convert to fraction form
    532,091.64/734,301.94 = 290,389.76/x
  3. Step 3: Cross multiply
    532,091.64x = 734,301.94 × 290,389.76
  4. Step 4: Simplify right side
    532,091.64x = 213,233,764,124.13
  5. Step 5: Solve for x
    x = 213,233,764,124.13/532,091.64
  6. Step 6: Final answer
    x = 400,746.32

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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.