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Finding the Fourth Proportional to 406,526.11, 561,024 and 225,237.98

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Solution

The fourth proportional to 406,526.11, 561,024 and 225,237.98 is: 310,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,526.11 : 561,024 = 225,237.98 : x
  2. Step 2: Convert to fraction form
    406,526.11/561,024 = 225,237.98/x
  3. Step 3: Cross multiply
    406,526.11x = 561,024 × 225,237.98
  4. Step 4: Simplify right side
    406,526.11x = 126,363,913,894.08
  5. Step 5: Solve for x
    x = 126,363,913,894.08/406,526.11
  6. Step 6: Final answer
    x = 310,838.37

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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.