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Finding the Fourth Proportional to 354,407.48, 531,009.52 and 213,870.84

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Solution

The fourth proportional to 354,407.48, 531,009.52 and 213,870.84 is: 320,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,407.48 : 531,009.52 = 213,870.84 : x
  2. Step 2: Convert to fraction form
    354,407.48/531,009.52 = 213,870.84/x
  3. Step 3: Cross multiply
    354,407.48x = 531,009.52 × 213,870.84
  4. Step 4: Simplify right side
    354,407.48x = 113,567,452,090.40
  5. Step 5: Solve for x
    x = 113,567,452,090.40/354,407.48
  6. Step 6: Final answer
    x = 320,443.16

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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.