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Finding the Fourth Proportional to 305,492.30, 458,269.62 and 105,812.31

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Solution

The fourth proportional to 305,492.30, 458,269.62 and 105,812.31 is: 158,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,492.30 : 458,269.62 = 105,812.31 : x
  2. Step 2: Convert to fraction form
    305,492.30/458,269.62 = 105,812.31/x
  3. Step 3: Cross multiply
    305,492.30x = 458,269.62 × 105,812.31
  4. Step 4: Simplify right side
    305,492.30x = 48,490,567,095.02
  5. Step 5: Solve for x
    x = 48,490,567,095.02/305,492.30
  6. Step 6: Final answer
    x = 158,729.26

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1.5x scale

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.