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Finding the Fourth Proportional to 405,006.90, 607,121.55 and 314,999.70

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Solution

The fourth proportional to 405,006.90, 607,121.55 and 314,999.70 is: 472,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,006.90 : 607,121.55 = 314,999.70 : x
  2. Step 2: Convert to fraction form
    405,006.90/607,121.55 = 314,999.70/x
  3. Step 3: Cross multiply
    405,006.90x = 607,121.55 × 314,999.70
  4. Step 4: Simplify right side
    405,006.90x = 191,243,106,113.54
  5. Step 5: Solve for x
    x = 191,243,106,113.54/405,006.90
  6. Step 6: Final answer
    x = 472,197.16

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1.5x scale

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.