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Finding the Fourth Proportional to 385,645.40, 578,468.10 and 326,742.20

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Solution

The fourth proportional to 385,645.40, 578,468.10 and 326,742.20 is: 490,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,645.40 : 578,468.10 = 326,742.20 : x
  2. Step 2: Convert to fraction form
    385,645.40/578,468.10 = 326,742.20/x
  3. Step 3: Cross multiply
    385,645.40x = 578,468.10 × 326,742.20
  4. Step 4: Simplify right side
    385,645.40x = 189,009,939,623.82
  5. Step 5: Solve for x
    x = 189,009,939,623.82/385,645.40
  6. Step 6: Final answer
    x = 490,113.30

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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.