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Finding the Fourth Proportional to 430,503.01, 645,847.94 and 130,975.81

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Solution

The fourth proportional to 430,503.01, 645,847.94 and 130,975.81 is: 196,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,503.01 : 645,847.94 = 130,975.81 : x
  2. Step 2: Convert to fraction form
    430,503.01/645,847.94 = 130,975.81/x
  3. Step 3: Cross multiply
    430,503.01x = 645,847.94 × 130,975.81
  4. Step 4: Simplify right side
    430,503.01x = 84,590,454,808.83
  5. Step 5: Solve for x
    x = 84,590,454,808.83/430,503.01
  6. Step 6: Final answer
    x = 196,492.13

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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.