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Finding the Fourth Proportional to 387,840, 581,615.98 and 135,055.60

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Solution

The fourth proportional to 387,840, 581,615.98 and 135,055.60 is: 202,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,840 : 581,615.98 = 135,055.60 : x
  2. Step 2: Convert to fraction form
    387,840/581,615.98 = 135,055.60/x
  3. Step 3: Cross multiply
    387,840x = 581,615.98 × 135,055.60
  4. Step 4: Simplify right side
    387,840x = 78,550,495,148.49
  5. Step 5: Solve for x
    x = 78,550,495,148.49/387,840
  6. Step 6: Final answer
    x = 202,533.25

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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.