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Finding the Fourth Proportional to 658,840.64, 909,200 and 357,034.72

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Solution

The fourth proportional to 658,840.64, 909,200 and 357,034.72 is: 492,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,840.64 : 909,200 = 357,034.72 : x
  2. Step 2: Convert to fraction form
    658,840.64/909,200 = 357,034.72/x
  3. Step 3: Cross multiply
    658,840.64x = 909,200 × 357,034.72
  4. Step 4: Simplify right side
    658,840.64x = 324,615,967,424
  5. Step 5: Solve for x
    x = 324,615,967,424/658,840.64
  6. Step 6: Final answer
    x = 492,707.87

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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.