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Finding the Fourth Proportional to 406,397.51, 560,822.64 and 225,108.85

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Solution

The fourth proportional to 406,397.51, 560,822.64 and 225,108.85 is: 310,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,397.51 : 560,822.64 = 225,108.85 : x
  2. Step 2: Convert to fraction form
    406,397.51/560,822.64 = 225,108.85/x
  3. Step 3: Cross multiply
    406,397.51x = 560,822.64 × 225,108.85
  4. Step 4: Simplify right side
    406,397.51x = 126,246,139,544.36
  5. Step 5: Solve for x
    x = 126,246,139,544.36/406,397.51
  6. Step 6: Final answer
    x = 310,646.93

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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.