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Finding the Fourth Proportional to 277,803.22, 383,345.72 and 156,955

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Solution

The fourth proportional to 277,803.22, 383,345.72 and 156,955 is: 216,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,803.22 : 383,345.72 = 156,955 : x
  2. Step 2: Convert to fraction form
    277,803.22/383,345.72 = 156,955/x
  3. Step 3: Cross multiply
    277,803.22x = 383,345.72 × 156,955
  4. Step 4: Simplify right side
    277,803.22x = 60,168,027,482.60
  5. Step 5: Solve for x
    x = 60,168,027,482.60/277,803.22
  6. Step 6: Final answer
    x = 216,585.06

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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.