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Finding the Fourth Proportional to 402,506.08, 603,779.76 and 102,989.20

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Solution

The fourth proportional to 402,506.08, 603,779.76 and 102,989.20 is: 154,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,506.08 : 603,779.76 = 102,989.20 : x
  2. Step 2: Convert to fraction form
    402,506.08/603,779.76 = 102,989.20/x
  3. Step 3: Cross multiply
    402,506.08x = 603,779.76 × 102,989.20
  4. Step 4: Simplify right side
    402,506.08x = 62,182,794,458.59
  5. Step 5: Solve for x
    x = 62,182,794,458.59/402,506.08
  6. Step 6: Final answer
    x = 154,489.08

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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.