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Finding the Fourth Proportional to 407,071.84, 561,110.07 and 320,890.28

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Solution

The fourth proportional to 407,071.84, 561,110.07 and 320,890.28 is: 442,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,071.84 : 561,110.07 = 320,890.28 : x
  2. Step 2: Convert to fraction form
    407,071.84/561,110.07 = 320,890.28/x
  3. Step 3: Cross multiply
    407,071.84x = 561,110.07 × 320,890.28
  4. Step 4: Simplify right side
    407,071.84x = 180,054,767,473.12
  5. Step 5: Solve for x
    x = 180,054,767,473.12/407,071.84
  6. Step 6: Final answer
    x = 442,316.93

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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.