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Finding the Fourth Proportional to 477,518.90, 658,602.63 and 296,128.31

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Solution

The fourth proportional to 477,518.90, 658,602.63 and 296,128.31 is: 408,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,518.90 : 658,602.63 = 296,128.31 : x
  2. Step 2: Convert to fraction form
    477,518.90/658,602.63 = 296,128.31/x
  3. Step 3: Cross multiply
    477,518.90x = 658,602.63 × 296,128.31
  4. Step 4: Simplify right side
    477,518.90x = 195,030,880,490.44
  5. Step 5: Solve for x
    x = 195,030,880,490.44/477,518.90
  6. Step 6: Final answer
    x = 408,425.47

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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.