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Finding the Fourth Proportional to 402,453.90, 602,865.59 and 186,005.16

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Solution

The fourth proportional to 402,453.90, 602,865.59 and 186,005.16 is: 278,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,453.90 : 602,865.59 = 186,005.16 : x
  2. Step 2: Convert to fraction form
    402,453.90/602,865.59 = 186,005.16/x
  3. Step 3: Cross multiply
    402,453.90x = 602,865.59 × 186,005.16
  4. Step 4: Simplify right side
    402,453.90x = 112,136,109,596.42
  5. Step 5: Solve for x
    x = 112,136,109,596.42/402,453.90
  6. Step 6: Final answer
    x = 278,630.94

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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.