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Finding the Fourth Proportional to 297,638.02, 410,657.07 and 282,678.94

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Solution

The fourth proportional to 297,638.02, 410,657.07 and 282,678.94 is: 390,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,638.02 : 410,657.07 = 282,678.94 : x
  2. Step 2: Convert to fraction form
    297,638.02/410,657.07 = 282,678.94/x
  3. Step 3: Cross multiply
    297,638.02x = 410,657.07 × 282,678.94
  4. Step 4: Simplify right side
    297,638.02x = 116,084,105,251.11
  5. Step 5: Solve for x
    x = 116,084,105,251.11/297,638.02
  6. Step 6: Final answer
    x = 390,017.73

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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.