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Finding the Fourth Proportional to 385,603.26, 578,398.70 and 105,120.51

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Solution

The fourth proportional to 385,603.26, 578,398.70 and 105,120.51 is: 157,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,603.26 : 578,398.70 = 105,120.51 : x
  2. Step 2: Convert to fraction form
    385,603.26/578,398.70 = 105,120.51/x
  3. Step 3: Cross multiply
    385,603.26x = 578,398.70 × 105,120.51
  4. Step 4: Simplify right side
    385,603.26x = 60,801,565,752.24
  5. Step 5: Solve for x
    x = 60,801,565,752.24/385,603.26
  6. Step 6: Final answer
    x = 157,679.08

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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.