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Finding the Fourth Proportional to 430,038.30, 645,059.51 and 130,521.48

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Solution

The fourth proportional to 430,038.30, 645,059.51 and 130,521.48 is: 195,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,038.30 : 645,059.51 = 130,521.48 : x
  2. Step 2: Convert to fraction form
    430,038.30/645,059.51 = 130,521.48/x
  3. Step 3: Cross multiply
    430,038.30x = 645,059.51 × 130,521.48
  4. Step 4: Simplify right side
    430,038.30x = 84,194,121,933.27
  5. Step 5: Solve for x
    x = 84,194,121,933.27/430,038.30
  6. Step 6: Final answer
    x = 195,782.85

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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.