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Finding the Fourth Proportional to 385,400.79, 578,087.30 and 101,089.07

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Solution

The fourth proportional to 385,400.79, 578,087.30 and 101,089.07 is: 151,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,400.79 : 578,087.30 = 101,089.07 : x
  2. Step 2: Convert to fraction form
    385,400.79/578,087.30 = 101,089.07/x
  3. Step 3: Cross multiply
    385,400.79x = 578,087.30 × 101,089.07
  4. Step 4: Simplify right side
    385,400.79x = 58,438,307,030.37
  5. Step 5: Solve for x
    x = 58,438,307,030.37/385,400.79
  6. Step 6: Final answer
    x = 151,629.96

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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.