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Finding the Fourth Proportional to 387,615.40, 581,034.30 and 177,404.20

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Solution

The fourth proportional to 387,615.40, 581,034.30 and 177,404.20 is: 265,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,615.40 : 581,034.30 = 177,404.20 : x
  2. Step 2: Convert to fraction form
    387,615.40/581,034.30 = 177,404.20/x
  3. Step 3: Cross multiply
    387,615.40x = 581,034.30 × 177,404.20
  4. Step 4: Simplify right side
    387,615.40x = 103,077,925,164.06
  5. Step 5: Solve for x
    x = 103,077,925,164.06/387,615.40
  6. Step 6: Final answer
    x = 265,928.35

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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.