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Finding the Fourth Proportional to 385,907.20, 578,860.80 and 105,424.45

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Solution

The fourth proportional to 385,907.20, 578,860.80 and 105,424.45 is: 158,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,907.20 : 578,860.80 = 105,424.45 : x
  2. Step 2: Convert to fraction form
    385,907.20/578,860.80 = 105,424.45/x
  3. Step 3: Cross multiply
    385,907.20x = 578,860.80 × 105,424.45
  4. Step 4: Simplify right side
    385,907.20x = 61,026,081,466.56
  5. Step 5: Solve for x
    x = 61,026,081,466.56/385,907.20
  6. Step 6: Final answer
    x = 158,136.68

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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.