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Finding the Fourth Proportional to 406,971.72, 561,506.22 and 320,663.04

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Solution

The fourth proportional to 406,971.72, 561,506.22 and 320,663.04 is: 442,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,971.72 : 561,506.22 = 320,663.04 : x
  2. Step 2: Convert to fraction form
    406,971.72/561,506.22 = 320,663.04/x
  3. Step 3: Cross multiply
    406,971.72x = 561,506.22 × 320,663.04
  4. Step 4: Simplify right side
    406,971.72x = 180,054,291,484.11
  5. Step 5: Solve for x
    x = 180,054,291,484.11/406,971.72
  6. Step 6: Final answer
    x = 442,424.58

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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.