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Finding the Fourth Proportional to 585,090.45, 820,898.10 and 585,090.45

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Solution

The fourth proportional to 585,090.45, 820,898.10 and 585,090.45 is: 820,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,090.45 : 820,898.10 = 585,090.45 : x
  2. Step 2: Convert to fraction form
    585,090.45/820,898.10 = 585,090.45/x
  3. Step 3: Cross multiply
    585,090.45x = 820,898.10 × 585,090.45
  4. Step 4: Simplify right side
    585,090.45x = 480,299,638,733.15
  5. Step 5: Solve for x
    x = 480,299,638,733.15/585,090.45
  6. Step 6: Final answer
    x = 820,898.10

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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.