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Finding the Fourth Proportional to 387,497.42, 534,928.05 and 258,653.55

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Solution

The fourth proportional to 387,497.42, 534,928.05 and 258,653.55 is: 357,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,497.42 : 534,928.05 = 258,653.55 : x
  2. Step 2: Convert to fraction form
    387,497.42/534,928.05 = 258,653.55/x
  3. Step 3: Cross multiply
    387,497.42x = 534,928.05 × 258,653.55
  4. Step 4: Simplify right side
    387,497.42x = 138,361,041,133.06
  5. Step 5: Solve for x
    x = 138,361,041,133.06/387,497.42
  6. Step 6: Final answer
    x = 357,063.13

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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.