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Finding the Fourth Proportional to 559,023.08, 771,457.38 and 320,513

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Solution

The fourth proportional to 559,023.08, 771,457.38 and 320,513 is: 442,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,023.08 : 771,457.38 = 320,513 : x
  2. Step 2: Convert to fraction form
    559,023.08/771,457.38 = 320,513/x
  3. Step 3: Cross multiply
    559,023.08x = 771,457.38 × 320,513
  4. Step 4: Simplify right side
    559,023.08x = 247,262,119,235.94
  5. Step 5: Solve for x
    x = 247,262,119,235.94/559,023.08
  6. Step 6: Final answer
    x = 442,311.11

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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.