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Finding the Fourth Proportional to 413,402, 570,459.84 and 250,119.34

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Solution

The fourth proportional to 413,402, 570,459.84 and 250,119.34 is: 345,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,402 : 570,459.84 = 250,119.34 : x
  2. Step 2: Convert to fraction form
    413,402/570,459.84 = 250,119.34/x
  3. Step 3: Cross multiply
    413,402x = 570,459.84 × 250,119.34
  4. Step 4: Simplify right side
    413,402x = 142,683,038,677.31
  5. Step 5: Solve for x
    x = 142,683,038,677.31/413,402
  6. Step 6: Final answer
    x = 345,143.56

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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.