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Finding the Fourth Proportional to 595,129.56, 821,421.72 and 340,628.40

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Solution

The fourth proportional to 595,129.56, 821,421.72 and 340,628.40 is: 470,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,129.56 : 821,421.72 = 340,628.40 : x
  2. Step 2: Convert to fraction form
    595,129.56/821,421.72 = 340,628.40/x
  3. Step 3: Cross multiply
    595,129.56x = 821,421.72 × 340,628.40
  4. Step 4: Simplify right side
    595,129.56x = 279,799,566,208.85
  5. Step 5: Solve for x
    x = 279,799,566,208.85/595,129.56
  6. Step 6: Final answer
    x = 470,149.00

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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.