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Finding the Fourth Proportional to 652,057, 899,841.12 and 380,312.56

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Solution

The fourth proportional to 652,057, 899,841.12 and 380,312.56 is: 524,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,057 : 899,841.12 = 380,312.56 : x
  2. Step 2: Convert to fraction form
    652,057/899,841.12 = 380,312.56/x
  3. Step 3: Cross multiply
    652,057x = 899,841.12 × 380,312.56
  4. Step 4: Simplify right side
    652,057x = 342,220,879,940.47
  5. Step 5: Solve for x
    x = 342,220,879,940.47/652,057
  6. Step 6: Final answer
    x = 524,832.77

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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.