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Finding the Fourth Proportional to 398,389.48, 549,776.10 and 219,541.48

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Solution

The fourth proportional to 398,389.48, 549,776.10 and 219,541.48 is: 302,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,389.48 : 549,776.10 = 219,541.48 : x
  2. Step 2: Convert to fraction form
    398,389.48/549,776.10 = 219,541.48/x
  3. Step 3: Cross multiply
    398,389.48x = 549,776.10 × 219,541.48
  4. Step 4: Simplify right side
    398,389.48x = 120,698,658,662.63
  5. Step 5: Solve for x
    x = 120,698,658,662.63/398,389.48
  6. Step 6: Final answer
    x = 302,966.48

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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.