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Finding the Fourth Proportional to 398,085.77, 549,371.16 and 216,805.34

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Solution

The fourth proportional to 398,085.77, 549,371.16 and 216,805.34 is: 299,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,085.77 : 549,371.16 = 216,805.34 : x
  2. Step 2: Convert to fraction form
    398,085.77/549,371.16 = 216,805.34/x
  3. Step 3: Cross multiply
    398,085.77x = 549,371.16 × 216,805.34
  4. Step 4: Simplify right side
    398,085.77x = 119,106,602,503.42
  5. Step 5: Solve for x
    x = 119,106,602,503.42/398,085.77
  6. Step 6: Final answer
    x = 299,198.34

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1.5x scale

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.