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Finding the Fourth Proportional to 214,004.40, 320,699.40 and 157,402.80

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Solution

The fourth proportional to 214,004.40, 320,699.40 and 157,402.80 is: 235,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,004.40 : 320,699.40 = 157,402.80 : x
  2. Step 2: Convert to fraction form
    214,004.40/320,699.40 = 157,402.80/x
  3. Step 3: Cross multiply
    214,004.40x = 320,699.40 × 157,402.80
  4. Step 4: Simplify right side
    214,004.40x = 50,478,983,518.32
  5. Step 5: Solve for x
    x = 50,478,983,518.32/214,004.40
  6. Step 6: Final answer
    x = 235,878.25

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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.