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Finding the Fourth Proportional to 405,187.80, 607,886.78 and 215,492.18

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Solution

The fourth proportional to 405,187.80, 607,886.78 and 215,492.18 is: 323,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,187.80 : 607,886.78 = 215,492.18 : x
  2. Step 2: Convert to fraction form
    405,187.80/607,886.78 = 215,492.18/x
  3. Step 3: Cross multiply
    405,187.80x = 607,886.78 × 215,492.18
  4. Step 4: Simplify right side
    405,187.80x = 130,994,847,857.64
  5. Step 5: Solve for x
    x = 130,994,847,857.64/405,187.80
  6. Step 6: Final answer
    x = 323,294.16

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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.