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Finding the Fourth Proportional to 386,970.40, 578,953.68 and 339,226.32

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Solution

The fourth proportional to 386,970.40, 578,953.68 and 339,226.32 is: 507,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,970.40 : 578,953.68 = 339,226.32 : x
  2. Step 2: Convert to fraction form
    386,970.40/578,953.68 = 339,226.32/x
  3. Step 3: Cross multiply
    386,970.40x = 578,953.68 × 339,226.32
  4. Step 4: Simplify right side
    386,970.40x = 196,396,326,316.86
  5. Step 5: Solve for x
    x = 196,396,326,316.86/386,970.40
  6. Step 6: Final answer
    x = 507,522.87

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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.