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Finding the Fourth Proportional to 289,901.10, 434,851.65 and 201,327.60

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Solution

The fourth proportional to 289,901.10, 434,851.65 and 201,327.60 is: 301,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,901.10 : 434,851.65 = 201,327.60 : x
  2. Step 2: Convert to fraction form
    289,901.10/434,851.65 = 201,327.60/x
  3. Step 3: Cross multiply
    289,901.10x = 434,851.65 × 201,327.60
  4. Step 4: Simplify right side
    289,901.10x = 87,547,639,050.54
  5. Step 5: Solve for x
    x = 87,547,639,050.54/289,901.10
  6. Step 6: Final answer
    x = 301,991.40

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1.5x scale

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.