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Finding the Fourth Proportional to 456,921, 630,463.50 and 295,753.68

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Solution

The fourth proportional to 456,921, 630,463.50 and 295,753.68 is: 408,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,921 : 630,463.50 = 295,753.68 : x
  2. Step 2: Convert to fraction form
    456,921/630,463.50 = 295,753.68/x
  3. Step 3: Cross multiply
    456,921x = 630,463.50 × 295,753.68
  4. Step 4: Simplify right side
    456,921x = 186,461,900,230.68
  5. Step 5: Solve for x
    x = 186,461,900,230.68/456,921
  6. Step 6: Final answer
    x = 408,083.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.