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Finding the Fourth Proportional to 265,931.37, 398,970.89 and 147,685.76

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Solution

The fourth proportional to 265,931.37, 398,970.89 and 147,685.76 is: 221,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,931.37 : 398,970.89 = 147,685.76 : x
  2. Step 2: Convert to fraction form
    265,931.37/398,970.89 = 147,685.76/x
  3. Step 3: Cross multiply
    265,931.37x = 398,970.89 × 147,685.76
  4. Step 4: Simplify right side
    265,931.37x = 58,922,319,107.53
  5. Step 5: Solve for x
    x = 58,922,319,107.53/265,931.37
  6. Step 6: Final answer
    x = 221,569.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.