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Finding the Fourth Proportional to 406,710.16, 561,264.15 and 225,426.07

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Solution

The fourth proportional to 406,710.16, 561,264.15 and 225,426.07 is: 311,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,710.16 : 561,264.15 = 225,426.07 : x
  2. Step 2: Convert to fraction form
    406,710.16/561,264.15 = 225,426.07/x
  3. Step 3: Cross multiply
    406,710.16x = 561,264.15 × 225,426.07
  4. Step 4: Simplify right side
    406,710.16x = 126,523,571,566.39
  5. Step 5: Solve for x
    x = 126,523,571,566.39/406,710.16
  6. Step 6: Final answer
    x = 311,090.27

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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.