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Finding the Fourth Proportional to 532,108.64, 734,325.49 and 290,406.72

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Solution

The fourth proportional to 532,108.64, 734,325.49 and 290,406.72 is: 400,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,108.64 : 734,325.49 = 290,406.72 : x
  2. Step 2: Convert to fraction form
    532,108.64/734,325.49 = 290,406.72/x
  3. Step 3: Cross multiply
    532,108.64x = 734,325.49 × 290,406.72
  4. Step 4: Simplify right side
    532,108.64x = 213,253,056,963.29
  5. Step 5: Solve for x
    x = 213,253,056,963.29/532,108.64
  6. Step 6: Final answer
    x = 400,769.77

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1.5x scale

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.