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Finding the Fourth Proportional to 369,402, 509,774.88 and 210,426

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Solution

The fourth proportional to 369,402, 509,774.88 and 210,426 is: 290,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,402 : 509,774.88 = 210,426 : x
  2. Step 2: Convert to fraction form
    369,402/509,774.88 = 210,426/x
  3. Step 3: Cross multiply
    369,402x = 509,774.88 × 210,426
  4. Step 4: Simplify right side
    369,402x = 107,269,888,898.88
  5. Step 5: Solve for x
    x = 107,269,888,898.88/369,402
  6. Step 6: Final answer
    x = 290,387.95

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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.