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Finding the Fourth Proportional to 407,448.72, 611,281.79 and 141,209.01

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Solution

The fourth proportional to 407,448.72, 611,281.79 and 141,209.01 is: 211,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,448.72 : 611,281.79 = 141,209.01 : x
  2. Step 2: Convert to fraction form
    407,448.72/611,281.79 = 141,209.01/x
  3. Step 3: Cross multiply
    407,448.72x = 611,281.79 × 141,209.01
  4. Step 4: Simplify right side
    407,448.72x = 86,318,495,690.88
  5. Step 5: Solve for x
    x = 86,318,495,690.88/407,448.72
  6. Step 6: Final answer
    x = 211,851.19

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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.