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Finding the Fourth Proportional to 280,285.40, 420,428.10 and 83,293.40

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Solution

The fourth proportional to 280,285.40, 420,428.10 and 83,293.40 is: 124,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,285.40 : 420,428.10 = 83,293.40 : x
  2. Step 2: Convert to fraction form
    280,285.40/420,428.10 = 83,293.40/x
  3. Step 3: Cross multiply
    280,285.40x = 420,428.10 × 83,293.40
  4. Step 4: Simplify right side
    280,285.40x = 35,018,885,904.54
  5. Step 5: Solve for x
    x = 35,018,885,904.54/280,285.40
  6. Step 6: Final answer
    x = 124,940.10

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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.