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Finding the Fourth Proportional to 410,094.96, 615,281.04 and 258,406.08

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Solution

The fourth proportional to 410,094.96, 615,281.04 and 258,406.08 is: 387,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,094.96 : 615,281.04 = 258,406.08 : x
  2. Step 2: Convert to fraction form
    410,094.96/615,281.04 = 258,406.08/x
  3. Step 3: Cross multiply
    410,094.96x = 615,281.04 × 258,406.08
  4. Step 4: Simplify right side
    410,094.96x = 158,992,361,644.72
  5. Step 5: Solve for x
    x = 158,992,361,644.72/410,094.96
  6. Step 6: Final answer
    x = 387,696.45

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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.