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Finding the Fourth Proportional to 385,298.69, 578,176.35 and 214,663.22

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Solution

The fourth proportional to 385,298.69, 578,176.35 and 214,663.22 is: 322,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,298.69 : 578,176.35 = 214,663.22 : x
  2. Step 2: Convert to fraction form
    385,298.69/578,176.35 = 214,663.22/x
  3. Step 3: Cross multiply
    385,298.69x = 578,176.35 × 214,663.22
  4. Step 4: Simplify right side
    385,298.69x = 124,113,195,491.14
  5. Step 5: Solve for x
    x = 124,113,195,491.14/385,298.69
  6. Step 6: Final answer
    x = 322,122.03

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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.