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Finding the Fourth Proportional to 438,423.63, 657,246.65 and 213,658.35

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Solution

The fourth proportional to 438,423.63, 657,246.65 and 213,658.35 is: 320,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,423.63 : 657,246.65 = 213,658.35 : x
  2. Step 2: Convert to fraction form
    438,423.63/657,246.65 = 213,658.35/x
  3. Step 3: Cross multiply
    438,423.63x = 657,246.65 × 213,658.35
  4. Step 4: Simplify right side
    438,423.63x = 140,426,233,713.74
  5. Step 5: Solve for x
    x = 140,426,233,713.74/438,423.63
  6. Step 6: Final answer
    x = 320,298.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.