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Finding the Fourth Proportional to 1,456,706, 2,185,447.80 and 459,434

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Solution

The fourth proportional to 1,456,706, 2,185,447.80 and 459,434 is: 689,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,706 : 2,185,447.80 = 459,434 : x
  2. Step 2: Convert to fraction form
    1,456,706/2,185,447.80 = 459,434/x
  3. Step 3: Cross multiply
    1,456,706x = 2,185,447.80 × 459,434
  4. Step 4: Simplify right side
    1,456,706x = 1,004,069,024,545.20
  5. Step 5: Solve for x
    x = 1,004,069,024,545.20/1,456,706
  6. Step 6: Final answer
    x = 689,273.62

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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.