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Finding the Fourth Proportional to 406,378.77, 560,811.80 and 231,945.50

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Solution

The fourth proportional to 406,378.77, 560,811.80 and 231,945.50 is: 320,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,378.77 : 560,811.80 = 231,945.50 : x
  2. Step 2: Convert to fraction form
    406,378.77/560,811.80 = 231,945.50/x
  3. Step 3: Cross multiply
    406,378.77x = 560,811.80 × 231,945.50
  4. Step 4: Simplify right side
    406,378.77x = 130,077,773,761.51
  5. Step 5: Solve for x
    x = 130,077,773,761.51/406,378.77
  6. Step 6: Final answer
    x = 320,089.98

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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.