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Finding the Fourth Proportional to 357,326.28, 535,988.88 and 278,499.60

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Solution

The fourth proportional to 357,326.28, 535,988.88 and 278,499.60 is: 417,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,326.28 : 535,988.88 = 278,499.60 : x
  2. Step 2: Convert to fraction form
    357,326.28/535,988.88 = 278,499.60/x
  3. Step 3: Cross multiply
    357,326.28x = 535,988.88 × 278,499.60
  4. Step 4: Simplify right side
    357,326.28x = 149,272,688,684.45
  5. Step 5: Solve for x
    x = 149,272,688,684.45/357,326.28
  6. Step 6: Final answer
    x = 417,748.98

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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.