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Finding the Fourth Proportional to 543,842.36, 750,501.78 and 302,147.24

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Solution

The fourth proportional to 543,842.36, 750,501.78 and 302,147.24 is: 416,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,842.36 : 750,501.78 = 302,147.24 : x
  2. Step 2: Convert to fraction form
    543,842.36/750,501.78 = 302,147.24/x
  3. Step 3: Cross multiply
    543,842.36x = 750,501.78 × 302,147.24
  4. Step 4: Simplify right side
    543,842.36x = 226,762,041,442.09
  5. Step 5: Solve for x
    x = 226,762,041,442.09/543,842.36
  6. Step 6: Final answer
    x = 416,962.82

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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.