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Finding the Fourth Proportional to 385,140.68, 531,484.16 and 213,054.16

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Solution

The fourth proportional to 385,140.68, 531,484.16 and 213,054.16 is: 294,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,140.68 : 531,484.16 = 213,054.16 : x
  2. Step 2: Convert to fraction form
    385,140.68/531,484.16 = 213,054.16/x
  3. Step 3: Cross multiply
    385,140.68x = 531,484.16 × 213,054.16
  4. Step 4: Simplify right side
    385,140.68x = 113,234,911,262.11
  5. Step 5: Solve for x
    x = 113,234,911,262.11/385,140.68
  6. Step 6: Final answer
    x = 294,009.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.