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Finding the Fourth Proportional to 354,740.54, 489,553.38 and 201,774.78

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Solution

The fourth proportional to 354,740.54, 489,553.38 and 201,774.78 is: 278,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,740.54 : 489,553.38 = 201,774.78 : x
  2. Step 2: Convert to fraction form
    354,740.54/489,553.38 = 201,774.78/x
  3. Step 3: Cross multiply
    354,740.54x = 489,553.38 × 201,774.78
  4. Step 4: Simplify right side
    354,740.54x = 98,779,525,547.76
  5. Step 5: Solve for x
    x = 98,779,525,547.76/354,740.54
  6. Step 6: Final answer
    x = 278,455.70

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1.5x scale

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.