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Finding the Fourth Proportional to 419,102.34, 578,373.71 and 258,050.31

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Solution

The fourth proportional to 419,102.34, 578,373.71 and 258,050.31 is: 356,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,102.34 : 578,373.71 = 258,050.31 : x
  2. Step 2: Convert to fraction form
    419,102.34/578,373.71 = 258,050.31/x
  3. Step 3: Cross multiply
    419,102.34x = 578,373.71 × 258,050.31
  4. Step 4: Simplify right side
    419,102.34x = 149,249,515,161.35
  5. Step 5: Solve for x
    x = 149,249,515,161.35/419,102.34
  6. Step 6: Final answer
    x = 356,117.11

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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.