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Finding the Fourth Proportional to 412,054.20, 617,159.70 and 402,838.20

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Solution

The fourth proportional to 412,054.20, 617,159.70 and 402,838.20 is: 603,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,054.20 : 617,159.70 = 402,838.20 : x
  2. Step 2: Convert to fraction form
    412,054.20/617,159.70 = 402,838.20/x
  3. Step 3: Cross multiply
    412,054.20x = 617,159.70 × 402,838.20
  4. Step 4: Simplify right side
    412,054.20x = 248,615,502,660.54
  5. Step 5: Solve for x
    x = 248,615,502,660.54/412,054.20
  6. Step 6: Final answer
    x = 603,356.31

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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.