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Finding the Fourth Proportional to 385,210.64, 577,607.16 and 214,484.96

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Solution

The fourth proportional to 385,210.64, 577,607.16 and 214,484.96 is: 321,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,210.64 : 577,607.16 = 214,484.96 : x
  2. Step 2: Convert to fraction form
    385,210.64/577,607.16 = 214,484.96/x
  3. Step 3: Cross multiply
    385,210.64x = 577,607.16 × 214,484.96
  4. Step 4: Simplify right side
    385,210.64x = 123,888,048,608.31
  5. Step 5: Solve for x
    x = 123,888,048,608.31/385,210.64
  6. Step 6: Final answer
    x = 321,611.18

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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.