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Finding the Fourth Proportional to 280,091,412.40, 419,853,683.40 and 165,016,721.20

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Solution

The fourth proportional to 280,091,412.40, 419,853,683.40 and 165,016,721.20 is: 247,358,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,091,412.40 : 419,853,683.40 = 165,016,721.20 : x
  2. Step 2: Convert to fraction form
    280,091,412.40/419,853,683.40 = 165,016,721.20/x
  3. Step 3: Cross multiply
    280,091,412.40x = 419,853,683.40 × 165,016,721.20
  4. Step 4: Simplify right side
    280,091,412.40x = 69,282,878,218,410,856
  5. Step 5: Solve for x
    x = 69,282,878,218,410,856/280,091,412.40
  6. Step 6: Final answer
    x = 247,358,095.08

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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.