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Finding the Fourth Proportional to 402,216.42, 602,406.09 and 192,001.98

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Solution

The fourth proportional to 402,216.42, 602,406.09 and 192,001.98 is: 287,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,216.42 : 602,406.09 = 192,001.98 : x
  2. Step 2: Convert to fraction form
    402,216.42/602,406.09 = 192,001.98/x
  3. Step 3: Cross multiply
    402,216.42x = 602,406.09 × 192,001.98
  4. Step 4: Simplify right side
    402,216.42x = 115,663,162,044.06
  5. Step 5: Solve for x
    x = 115,663,162,044.06/402,216.42
  6. Step 6: Final answer
    x = 287,564.50

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1.5x scale

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.