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Finding the Fourth Proportional to 430,030.32, 645,070.14 and 130,520.70

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Solution

The fourth proportional to 430,030.32, 645,070.14 and 130,520.70 is: 195,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,030.32 : 645,070.14 = 130,520.70 : x
  2. Step 2: Convert to fraction form
    430,030.32/645,070.14 = 130,520.70/x
  3. Step 3: Cross multiply
    430,030.32x = 645,070.14 × 130,520.70
  4. Step 4: Simplify right side
    430,030.32x = 84,195,006,221.90
  5. Step 5: Solve for x
    x = 84,195,006,221.90/430,030.32
  6. Step 6: Final answer
    x = 195,788.53

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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.