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Finding the Fourth Proportional to 407,554.40, 611,987.70 and 307,827.20

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Solution

The fourth proportional to 407,554.40, 611,987.70 and 307,827.20 is: 462,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,554.40 : 611,987.70 = 307,827.20 : x
  2. Step 2: Convert to fraction form
    407,554.40/611,987.70 = 307,827.20/x
  3. Step 3: Cross multiply
    407,554.40x = 611,987.70 × 307,827.20
  4. Step 4: Simplify right side
    407,554.40x = 188,386,460,125.44
  5. Step 5: Solve for x
    x = 188,386,460,125.44/407,554.40
  6. Step 6: Final answer
    x = 462,236.35

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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.