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Finding the Fourth Proportional to 354,599.96, 489,345.58 and 201,638.16

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Solution

The fourth proportional to 354,599.96, 489,345.58 and 201,638.16 is: 278,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,599.96 : 489,345.58 = 201,638.16 : x
  2. Step 2: Convert to fraction form
    354,599.96/489,345.58 = 201,638.16/x
  3. Step 3: Cross multiply
    354,599.96x = 489,345.58 × 201,638.16
  4. Step 4: Simplify right side
    354,599.96x = 98,670,742,040.27
  5. Step 5: Solve for x
    x = 98,670,742,040.27/354,599.96
  6. Step 6: Final answer
    x = 278,259.31

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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.