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Finding the Fourth Proportional to 419,101.84, 578,373.03 and 258,049.81

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Solution

The fourth proportional to 419,101.84, 578,373.03 and 258,049.81 is: 356,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,101.84 : 578,373.03 = 258,049.81 : x
  2. Step 2: Convert to fraction form
    419,101.84/578,373.03 = 258,049.81/x
  3. Step 3: Cross multiply
    419,101.84x = 578,373.03 × 258,049.81
  4. Step 4: Simplify right side
    419,101.84x = 149,249,046,318.51
  5. Step 5: Solve for x
    x = 149,249,046,318.51/419,101.84
  6. Step 6: Final answer
    x = 356,116.42

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1.5x scale

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.