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Finding the Fourth Proportional to 369,078.83, 509,328.81 and 199,312.95

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Solution

The fourth proportional to 369,078.83, 509,328.81 and 199,312.95 is: 275,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,078.83 : 509,328.81 = 199,312.95 : x
  2. Step 2: Convert to fraction form
    369,078.83/509,328.81 = 199,312.95/x
  3. Step 3: Cross multiply
    369,078.83x = 509,328.81 × 199,312.95
  4. Step 4: Simplify right side
    369,078.83x = 101,515,827,641.09
  5. Step 5: Solve for x
    x = 101,515,827,641.09/369,078.83
  6. Step 6: Final answer
    x = 275,051.88

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1.5x scale

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.