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Finding the Fourth Proportional to 402,657.90, 602,672.57 and 296,013.60

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Solution

The fourth proportional to 402,657.90, 602,672.57 and 296,013.60 is: 443,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,657.90 : 602,672.57 = 296,013.60 : x
  2. Step 2: Convert to fraction form
    402,657.90/602,672.57 = 296,013.60/x
  3. Step 3: Cross multiply
    402,657.90x = 602,672.57 × 296,013.60
  4. Step 4: Simplify right side
    402,657.90x = 178,399,279,313.67
  5. Step 5: Solve for x
    x = 178,399,279,313.67/402,657.90
  6. Step 6: Final answer
    x = 443,054.21

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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.