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Finding the Fourth Proportional to 387,924.12, 535,031.70 and 265,489.08

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Solution

The fourth proportional to 387,924.12, 535,031.70 and 265,489.08 is: 366,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,924.12 : 535,031.70 = 265,489.08 : x
  2. Step 2: Convert to fraction form
    387,924.12/535,031.70 = 265,489.08/x
  3. Step 3: Cross multiply
    387,924.12x = 535,031.70 × 265,489.08
  4. Step 4: Simplify right side
    387,924.12x = 142,045,073,803.84
  5. Step 5: Solve for x
    x = 142,045,073,803.84/387,924.12
  6. Step 6: Final answer
    x = 366,167.16

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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.