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Finding the Fourth Proportional to 430,155.08, 645,101.40 and 114,570.92

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Solution

The fourth proportional to 430,155.08, 645,101.40 and 114,570.92 is: 171,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,155.08 : 645,101.40 = 114,570.92 : x
  2. Step 2: Convert to fraction form
    430,155.08/645,101.40 = 114,570.92/x
  3. Step 3: Cross multiply
    430,155.08x = 645,101.40 × 114,570.92
  4. Step 4: Simplify right side
    430,155.08x = 73,909,860,891.29
  5. Step 5: Solve for x
    x = 73,909,860,891.29/430,155.08
  6. Step 6: Final answer
    x = 171,821.43

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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.