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Finding the Fourth Proportional to 434,780.70, 599,303.96 and 342,749.94

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Solution

The fourth proportional to 434,780.70, 599,303.96 and 342,749.94 is: 472,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,780.70 : 599,303.96 = 342,749.94 : x
  2. Step 2: Convert to fraction form
    434,780.70/599,303.96 = 342,749.94/x
  3. Step 3: Cross multiply
    434,780.70x = 599,303.96 × 342,749.94
  4. Step 4: Simplify right side
    434,780.70x = 205,411,396,331.76
  5. Step 5: Solve for x
    x = 205,411,396,331.76/434,780.70
  6. Step 6: Final answer
    x = 472,448.29

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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.