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Finding the Fourth Proportional to 390,298.63, 538,613 and 218,222.72

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Solution

The fourth proportional to 390,298.63, 538,613 and 218,222.72 is: 301,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,298.63 : 538,613 = 218,222.72 : x
  2. Step 2: Convert to fraction form
    390,298.63/538,613 = 218,222.72/x
  3. Step 3: Cross multiply
    390,298.63x = 538,613 × 218,222.72
  4. Step 4: Simplify right side
    390,298.63x = 117,537,593,887.36
  5. Step 5: Solve for x
    x = 117,537,593,887.36/390,298.63
  6. Step 6: Final answer
    x = 301,147.85

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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.