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Finding the Fourth Proportional to 289,851.20, 406,724.80 and 289,851.20

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Solution

The fourth proportional to 289,851.20, 406,724.80 and 289,851.20 is: 406,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,851.20 : 406,724.80 = 289,851.20 : x
  2. Step 2: Convert to fraction form
    289,851.20/406,724.80 = 289,851.20/x
  3. Step 3: Cross multiply
    289,851.20x = 406,724.80 × 289,851.20
  4. Step 4: Simplify right side
    289,851.20x = 117,889,671,349.76
  5. Step 5: Solve for x
    x = 117,889,671,349.76/289,851.20
  6. Step 6: Final answer
    x = 406,724.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.