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Finding the Fourth Proportional to 532,102.77, 734,304.33 and 290,390.40

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Solution

The fourth proportional to 532,102.77, 734,304.33 and 290,390.40 is: 400,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,102.77 : 734,304.33 = 290,390.40 : x
  2. Step 2: Convert to fraction form
    532,102.77/734,304.33 = 290,390.40/x
  3. Step 3: Cross multiply
    532,102.77x = 734,304.33 × 290,390.40
  4. Step 4: Simplify right side
    532,102.77x = 213,234,928,110.43
  5. Step 5: Solve for x
    x = 213,234,928,110.43/532,102.77
  6. Step 6: Final answer
    x = 400,740.12

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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.