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Finding the Fourth Proportional to 385,270.68, 578,020.48 and 185,533.32

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Solution

The fourth proportional to 385,270.68, 578,020.48 and 185,533.32 is: 278,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,270.68 : 578,020.48 = 185,533.32 : x
  2. Step 2: Convert to fraction form
    385,270.68/578,020.48 = 185,533.32/x
  3. Step 3: Cross multiply
    385,270.68x = 578,020.48 × 185,533.32
  4. Step 4: Simplify right side
    385,270.68x = 107,242,058,682.39
  5. Step 5: Solve for x
    x = 107,242,058,682.39/385,270.68
  6. Step 6: Final answer
    x = 278,355.10

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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.