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Finding the Fourth Proportional to 345,653.12, 520,346.92 and 310,893.42

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Solution

The fourth proportional to 345,653.12, 520,346.92 and 310,893.42 is: 468,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,653.12 : 520,346.92 = 310,893.42 : x
  2. Step 2: Convert to fraction form
    345,653.12/520,346.92 = 310,893.42/x
  3. Step 3: Cross multiply
    345,653.12x = 520,346.92 × 310,893.42
  4. Step 4: Simplify right side
    345,653.12x = 161,772,433,545.27
  5. Step 5: Solve for x
    x = 161,772,433,545.27/345,653.12
  6. Step 6: Final answer
    x = 468,019.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.