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Finding the Fourth Proportional to 407,905.10, 611,857.65 and 258,314.30

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Solution

The fourth proportional to 407,905.10, 611,857.65 and 258,314.30 is: 387,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,905.10 : 611,857.65 = 258,314.30 : x
  2. Step 2: Convert to fraction form
    407,905.10/611,857.65 = 258,314.30/x
  3. Step 3: Cross multiply
    407,905.10x = 611,857.65 × 258,314.30
  4. Step 4: Simplify right side
    407,905.10x = 158,051,580,559.40
  5. Step 5: Solve for x
    x = 158,051,580,559.40/407,905.10
  6. Step 6: Final answer
    x = 387,471.45

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Similar ratio
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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.