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Finding the Fourth Proportional to 640,443,298.56, 960,742,684.80 and 180,381,467.64

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Solution

The fourth proportional to 640,443,298.56, 960,742,684.80 and 180,381,467.64 is: 270,594,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,443,298.56 : 960,742,684.80 = 180,381,467.64 : x
  2. Step 2: Convert to fraction form
    640,443,298.56/960,742,684.80 = 180,381,467.64/x
  3. Step 3: Cross multiply
    640,443,298.56x = 960,742,684.80 × 180,381,467.64
  4. Step 4: Simplify right side
    640,443,298.56x = 173,300,175,508,617,888
  5. Step 5: Solve for x
    x = 173,300,175,508,617,888/640,443,298.56
  6. Step 6: Final answer
    x = 270,594,096.15

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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.