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Finding the Fourth Proportional to 387,506.40, 534,940.50 and 258,662.58

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Solution

The fourth proportional to 387,506.40, 534,940.50 and 258,662.58 is: 357,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,506.40 : 534,940.50 = 258,662.58 : x
  2. Step 2: Convert to fraction form
    387,506.40/534,940.50 = 258,662.58/x
  3. Step 3: Cross multiply
    387,506.40x = 534,940.50 × 258,662.58
  4. Step 4: Simplify right side
    387,506.40x = 138,369,089,876.49
  5. Step 5: Solve for x
    x = 138,369,089,876.49/387,506.40
  6. Step 6: Final answer
    x = 357,075.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.