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Finding the Fourth Proportional to 658,880, 909,352 and 417,185.04

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Solution

The fourth proportional to 658,880, 909,352 and 417,185.04 is: 575,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,880 : 909,352 = 417,185.04 : x
  2. Step 2: Convert to fraction form
    658,880/909,352 = 417,185.04/x
  3. Step 3: Cross multiply
    658,880x = 909,352 × 417,185.04
  4. Step 4: Simplify right side
    658,880x = 379,368,050,494.08
  5. Step 5: Solve for x
    x = 379,368,050,494.08/658,880
  6. Step 6: Final answer
    x = 575,777.15

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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.