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Finding the Fourth Proportional to 405,006.40, 607,120.80 and 314,999.20

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Solution

The fourth proportional to 405,006.40, 607,120.80 and 314,999.20 is: 472,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,006.40 : 607,120.80 = 314,999.20 : x
  2. Step 2: Convert to fraction form
    405,006.40/607,120.80 = 314,999.20/x
  3. Step 3: Cross multiply
    405,006.40x = 607,120.80 × 314,999.20
  4. Step 4: Simplify right side
    405,006.40x = 191,242,566,303.36
  5. Step 5: Solve for x
    x = 191,242,566,303.36/405,006.40
  6. Step 6: Final answer
    x = 472,196.41

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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.