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Finding the Fourth Proportional to 406,987.75, 561,643.10 and 228,139.75

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Solution

The fourth proportional to 406,987.75, 561,643.10 and 228,139.75 is: 314,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,987.75 : 561,643.10 = 228,139.75 : x
  2. Step 2: Convert to fraction form
    406,987.75/561,643.10 = 228,139.75/x
  3. Step 3: Cross multiply
    406,987.75x = 561,643.10 × 228,139.75
  4. Step 4: Simplify right side
    406,987.75x = 128,133,116,423.23
  5. Step 5: Solve for x
    x = 128,133,116,423.23/406,987.75
  6. Step 6: Final answer
    x = 314,832.86

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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.