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Finding the Fourth Proportional to 570,234.14, 787,119.81 and 328,613

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Solution

The fourth proportional to 570,234.14, 787,119.81 and 328,613 is: 453,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,234.14 : 787,119.81 = 328,613 : x
  2. Step 2: Convert to fraction form
    570,234.14/787,119.81 = 328,613/x
  3. Step 3: Cross multiply
    570,234.14x = 787,119.81 × 328,613
  4. Step 4: Simplify right side
    570,234.14x = 258,657,802,123.53
  5. Step 5: Solve for x
    x = 258,657,802,123.53/570,234.14
  6. Step 6: Final answer
    x = 453,599.29

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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.