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Finding the Fourth Proportional to 380,139.84, 570,362.40 and 143,549.28

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Solution

The fourth proportional to 380,139.84, 570,362.40 and 143,549.28 is: 215,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,139.84 : 570,362.40 = 143,549.28 : x
  2. Step 2: Convert to fraction form
    380,139.84/570,362.40 = 143,549.28/x
  3. Step 3: Cross multiply
    380,139.84x = 570,362.40 × 143,549.28
  4. Step 4: Simplify right side
    380,139.84x = 81,875,111,859.07
  5. Step 5: Solve for x
    x = 81,875,111,859.07/380,139.84
  6. Step 6: Final answer
    x = 215,381.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.