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Finding the Fourth Proportional to 354,204.16, 488,762.40 and 210,944.32

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Solution

The fourth proportional to 354,204.16, 488,762.40 and 210,944.32 is: 291,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,204.16 : 488,762.40 = 210,944.32 : x
  2. Step 2: Convert to fraction form
    354,204.16/488,762.40 = 210,944.32/x
  3. Step 3: Cross multiply
    354,204.16x = 488,762.40 × 210,944.32
  4. Step 4: Simplify right side
    354,204.16x = 103,101,652,109.57
  5. Step 5: Solve for x
    x = 103,101,652,109.57/354,204.16
  6. Step 6: Final answer
    x = 291,079.73

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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.