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Finding the Fourth Proportional to 402,298.04, 603,447 and 102,779.24

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Solution

The fourth proportional to 402,298.04, 603,447 and 102,779.24 is: 154,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,298.04 : 603,447 = 102,779.24 : x
  2. Step 2: Convert to fraction form
    402,298.04/603,447 = 102,779.24/x
  3. Step 3: Cross multiply
    402,298.04x = 603,447 × 102,779.24
  4. Step 4: Simplify right side
    402,298.04x = 62,021,824,040.28
  5. Step 5: Solve for x
    x = 62,021,824,040.28/402,298.04
  6. Step 6: Final answer
    x = 154,168.84

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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.