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Finding the Fourth Proportional to 634,609.44, 875,801.76 and 419,372.16

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Solution

The fourth proportional to 634,609.44, 875,801.76 and 419,372.16 is: 578,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,609.44 : 875,801.76 = 419,372.16 : x
  2. Step 2: Convert to fraction form
    634,609.44/875,801.76 = 419,372.16/x
  3. Step 3: Cross multiply
    634,609.44x = 875,801.76 × 419,372.16
  4. Step 4: Simplify right side
    634,609.44x = 367,286,875,823.00
  5. Step 5: Solve for x
    x = 367,286,875,823.00/634,609.44
  6. Step 6: Final answer
    x = 578,760.50

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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.