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Finding the Fourth Proportional to 658,851.50, 909,312.60 and 417,156.56

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Solution

The fourth proportional to 658,851.50, 909,312.60 and 417,156.56 is: 575,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,851.50 : 909,312.60 = 417,156.56 : x
  2. Step 2: Convert to fraction form
    658,851.50/909,312.60 = 417,156.56/x
  3. Step 3: Cross multiply
    658,851.50x = 909,312.60 × 417,156.56
  4. Step 4: Simplify right side
    658,851.50x = 379,325,716,180.66
  5. Step 5: Solve for x
    x = 379,325,716,180.66/658,851.50
  6. Step 6: Final answer
    x = 575,737.80

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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.