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Finding the Fourth Proportional to 277,547.31, 383,000.81 and 162,810

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Solution

The fourth proportional to 277,547.31, 383,000.81 and 162,810 is: 224,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,547.31 : 383,000.81 = 162,810 : x
  2. Step 2: Convert to fraction form
    277,547.31/383,000.81 = 162,810/x
  3. Step 3: Cross multiply
    277,547.31x = 383,000.81 × 162,810
  4. Step 4: Simplify right side
    277,547.31x = 62,356,361,062.05
  5. Step 5: Solve for x
    x = 62,356,361,062.05/277,547.31
  6. Step 6: Final answer
    x = 224,669.30

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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.