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Finding the Fourth Proportional to 706,378.38, 974,803.32 and 384,088.20

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Solution

The fourth proportional to 706,378.38, 974,803.32 and 384,088.20 is: 530,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,378.38 : 974,803.32 = 384,088.20 : x
  2. Step 2: Convert to fraction form
    706,378.38/974,803.32 = 384,088.20/x
  3. Step 3: Cross multiply
    706,378.38x = 974,803.32 × 384,088.20
  4. Step 4: Simplify right side
    706,378.38x = 374,410,452,532.82
  5. Step 5: Solve for x
    x = 374,410,452,532.82/706,378.38
  6. Step 6: Final answer
    x = 530,042.34

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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.