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Finding the Fourth Proportional to 652,052, 899,834.19 and 380,307.53

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Solution

The fourth proportional to 652,052, 899,834.19 and 380,307.53 is: 524,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,052 : 899,834.19 = 380,307.53 : x
  2. Step 2: Convert to fraction form
    652,052/899,834.19 = 380,307.53/x
  3. Step 3: Cross multiply
    652,052x = 899,834.19 × 380,307.53
  4. Step 4: Simplify right side
    652,052x = 342,213,718,208.45
  5. Step 5: Solve for x
    x = 342,213,718,208.45/652,052
  6. Step 6: Final answer
    x = 524,825.81

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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.