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Finding the Fourth Proportional to 512,111, 707,046.02 and 458,303.48

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Solution

The fourth proportional to 512,111, 707,046.02 and 458,303.48 is: 632,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,111 : 707,046.02 = 458,303.48 : x
  2. Step 2: Convert to fraction form
    512,111/707,046.02 = 458,303.48/x
  3. Step 3: Cross multiply
    512,111x = 707,046.02 × 458,303.48
  4. Step 4: Simplify right side
    512,111x = 324,041,651,486.15
  5. Step 5: Solve for x
    x = 324,041,651,486.15/512,111
  6. Step 6: Final answer
    x = 632,756.67

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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.