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Finding the Fourth Proportional to 545,460.48, 816,681.69 and 278,646.48

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Solution

The fourth proportional to 545,460.48, 816,681.69 and 278,646.48 is: 417,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,460.48 : 816,681.69 = 278,646.48 : x
  2. Step 2: Convert to fraction form
    545,460.48/816,681.69 = 278,646.48/x
  3. Step 3: Cross multiply
    545,460.48x = 816,681.69 × 278,646.48
  4. Step 4: Simplify right side
    545,460.48x = 227,565,478,198.95
  5. Step 5: Solve for x
    x = 227,565,478,198.95/545,460.48
  6. Step 6: Final answer
    x = 417,198.84

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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.