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Finding the Fourth Proportional to 658,934.64, 909,329.76 and 357,128.64

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Solution

The fourth proportional to 658,934.64, 909,329.76 and 357,128.64 is: 492,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,934.64 : 909,329.76 = 357,128.64 : x
  2. Step 2: Convert to fraction form
    658,934.64/909,329.76 = 357,128.64/x
  3. Step 3: Cross multiply
    658,934.64x = 909,329.76 × 357,128.64
  4. Step 4: Simplify right side
    658,934.64x = 324,747,700,500.33
  5. Step 5: Solve for x
    x = 324,747,700,500.33/658,934.64
  6. Step 6: Final answer
    x = 492,837.50

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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.