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Finding the Fourth Proportional to 523,443.28, 721,626.12 and 353,408.08

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Solution

The fourth proportional to 523,443.28, 721,626.12 and 353,408.08 is: 487,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,443.28 : 721,626.12 = 353,408.08 : x
  2. Step 2: Convert to fraction form
    523,443.28/721,626.12 = 353,408.08/x
  3. Step 3: Cross multiply
    523,443.28x = 721,626.12 × 353,408.08
  4. Step 4: Simplify right side
    523,443.28x = 255,028,501,547.05
  5. Step 5: Solve for x
    x = 255,028,501,547.05/523,443.28
  6. Step 6: Final answer
    x = 487,213.25

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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.