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Finding the Fourth Proportional to 589,412.72, 813,389.64 and 321,140.72

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Solution

The fourth proportional to 589,412.72, 813,389.64 and 321,140.72 is: 443,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,412.72 : 813,389.64 = 321,140.72 : x
  2. Step 2: Convert to fraction form
    589,412.72/813,389.64 = 321,140.72/x
  3. Step 3: Cross multiply
    589,412.72x = 813,389.64 × 321,140.72
  4. Step 4: Simplify right side
    589,412.72x = 261,212,534,630.14
  5. Step 5: Solve for x
    x = 261,212,534,630.14/589,412.72
  6. Step 6: Final answer
    x = 443,174.24

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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.