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Finding the Fourth Proportional to 559,668.21, 772,305.18 and 314,690.72

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Solution

The fourth proportional to 559,668.21, 772,305.18 and 314,690.72 is: 434,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,668.21 : 772,305.18 = 314,690.72 : x
  2. Step 2: Convert to fraction form
    559,668.21/772,305.18 = 314,690.72/x
  3. Step 3: Cross multiply
    559,668.21x = 772,305.18 × 314,690.72
  4. Step 4: Simplify right side
    559,668.21x = 243,037,274,226.67
  5. Step 5: Solve for x
    x = 243,037,274,226.67/559,668.21
  6. Step 6: Final answer
    x = 434,252.42

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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.