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Finding the Fourth Proportional to 407,365.47, 562,417.93 and 381,947.06

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Solution

The fourth proportional to 407,365.47, 562,417.93 and 381,947.06 is: 527,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,365.47 : 562,417.93 = 381,947.06 : x
  2. Step 2: Convert to fraction form
    407,365.47/562,417.93 = 381,947.06/x
  3. Step 3: Cross multiply
    407,365.47x = 562,417.93 × 381,947.06
  4. Step 4: Simplify right side
    407,365.47x = 214,813,876,738.26
  5. Step 5: Solve for x
    x = 214,813,876,738.26/407,365.47
  6. Step 6: Final answer
    x = 527,324.71

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1.5x scale

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.