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Finding the Fourth Proportional to 385,477.21, 578,035.88 and 145,406.14

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Solution

The fourth proportional to 385,477.21, 578,035.88 and 145,406.14 is: 218,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,477.21 : 578,035.88 = 145,406.14 : x
  2. Step 2: Convert to fraction form
    385,477.21/578,035.88 = 145,406.14/x
  3. Step 3: Cross multiply
    385,477.21x = 578,035.88 × 145,406.14
  4. Step 4: Simplify right side
    385,477.21x = 84,049,964,465.46
  5. Step 5: Solve for x
    x = 84,049,964,465.46/385,477.21
  6. Step 6: Final answer
    x = 218,041.33

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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.