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Finding the Fourth Proportional to 294,238.96, 406,459.68 and 283,314.88

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Solution

The fourth proportional to 294,238.96, 406,459.68 and 283,314.88 is: 391,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,238.96 : 406,459.68 = 283,314.88 : x
  2. Step 2: Convert to fraction form
    294,238.96/406,459.68 = 283,314.88/x
  3. Step 3: Cross multiply
    294,238.96x = 406,459.68 × 283,314.88
  4. Step 4: Simplify right side
    294,238.96x = 115,156,075,464.04
  5. Step 5: Solve for x
    x = 115,156,075,464.04/294,238.96
  6. Step 6: Final answer
    x = 391,369.23

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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.