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Finding the Fourth Proportional to 532,411.06, 734,728.80 and 290,695.72

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Solution

The fourth proportional to 532,411.06, 734,728.80 and 290,695.72 is: 401,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,411.06 : 734,728.80 = 290,695.72 : x
  2. Step 2: Convert to fraction form
    532,411.06/734,728.80 = 290,695.72/x
  3. Step 3: Cross multiply
    532,411.06x = 734,728.80 × 290,695.72
  4. Step 4: Simplify right side
    532,411.06x = 213,582,517,520.74
  5. Step 5: Solve for x
    x = 213,582,517,520.74/532,411.06
  6. Step 6: Final answer
    x = 401,160.93

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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.