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Finding the Fourth Proportional to 253,048.71, 348,981.02 and 209,959.95

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Solution

The fourth proportional to 253,048.71, 348,981.02 and 209,959.95 is: 289,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,048.71 : 348,981.02 = 209,959.95 : x
  2. Step 2: Convert to fraction form
    253,048.71/348,981.02 = 209,959.95/x
  3. Step 3: Cross multiply
    253,048.71x = 348,981.02 × 209,959.95
  4. Step 4: Simplify right side
    253,048.71x = 73,272,036,460.35
  5. Step 5: Solve for x
    x = 73,272,036,460.35/253,048.71
  6. Step 6: Final answer
    x = 289,557.04

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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.