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Finding the Fourth Proportional to 438,425.40, 657,443.70 and 201,646.20

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Solution

The fourth proportional to 438,425.40, 657,443.70 and 201,646.20 is: 302,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,425.40 : 657,443.70 = 201,646.20 : x
  2. Step 2: Convert to fraction form
    438,425.40/657,443.70 = 201,646.20/x
  3. Step 3: Cross multiply
    438,425.40x = 657,443.70 × 201,646.20
  4. Step 4: Simplify right side
    438,425.40x = 132,571,023,818.94
  5. Step 5: Solve for x
    x = 132,571,023,818.94/438,425.40
  6. Step 6: Final answer
    x = 302,379.89

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1.5x scale

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.