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Finding the Fourth Proportional to 297,411.50, 410,430.75 and 163,278.38

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Solution

The fourth proportional to 297,411.50, 410,430.75 and 163,278.38 is: 225,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,411.50 : 410,430.75 = 163,278.38 : x
  2. Step 2: Convert to fraction form
    297,411.50/410,430.75 = 163,278.38/x
  3. Step 3: Cross multiply
    297,411.50x = 410,430.75 × 163,278.38
  4. Step 4: Simplify right side
    297,411.50x = 67,014,467,962.19
  5. Step 5: Solve for x
    x = 67,014,467,962.19/297,411.50
  6. Step 6: Final answer
    x = 225,325.75

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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.