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Finding the Fourth Proportional to 545,200.80, 817,968.54 and 279,148.11

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Solution

The fourth proportional to 545,200.80, 817,968.54 and 279,148.11 is: 418,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,200.80 : 817,968.54 = 279,148.11 : x
  2. Step 2: Convert to fraction form
    545,200.80/817,968.54 = 279,148.11/x
  3. Step 3: Cross multiply
    545,200.80x = 817,968.54 × 279,148.11
  4. Step 4: Simplify right side
    545,200.80x = 228,334,371,980.46
  5. Step 5: Solve for x
    x = 228,334,371,980.46/545,200.80
  6. Step 6: Final answer
    x = 418,807.84

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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.