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Finding the Fourth Proportional to 402,303.64, 603,454.93 and 102,784.45

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Solution

The fourth proportional to 402,303.64, 603,454.93 and 102,784.45 is: 154,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,303.64 : 603,454.93 = 102,784.45 : x
  2. Step 2: Convert to fraction form
    402,303.64/603,454.93 = 102,784.45/x
  3. Step 3: Cross multiply
    402,303.64x = 603,454.93 × 102,784.45
  4. Step 4: Simplify right side
    402,303.64x = 62,025,783,079.84
  5. Step 5: Solve for x
    x = 62,025,783,079.84/402,303.64
  6. Step 6: Final answer
    x = 154,176.54

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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.