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Finding the Fourth Proportional to 580,051.13, 870,041.72 and 344,890.31

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Solution

The fourth proportional to 580,051.13, 870,041.72 and 344,890.31 is: 517,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,051.13 : 870,041.72 = 344,890.31 : x
  2. Step 2: Convert to fraction form
    580,051.13/870,041.72 = 344,890.31/x
  3. Step 3: Cross multiply
    580,051.13x = 870,041.72 × 344,890.31
  4. Step 4: Simplify right side
    580,051.13x = 300,068,955,035.75
  5. Step 5: Solve for x
    x = 300,068,955,035.75/580,051.13
  6. Step 6: Final answer
    x = 517,314.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.