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Finding the Fourth Proportional to 402,295.40, 603,442.56 and 102,776.20

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Solution

The fourth proportional to 402,295.40, 603,442.56 and 102,776.20 is: 154,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,295.40 : 603,442.56 = 102,776.20 : x
  2. Step 2: Convert to fraction form
    402,295.40/603,442.56 = 102,776.20/x
  3. Step 3: Cross multiply
    402,295.40x = 603,442.56 × 102,776.20
  4. Step 4: Simplify right side
    402,295.40x = 62,019,533,235.07
  5. Step 5: Solve for x
    x = 62,019,533,235.07/402,295.40
  6. Step 6: Final answer
    x = 154,164.16

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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.