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Finding the Fourth Proportional to 472,420, 651,939.60 and 260,452

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Solution

The fourth proportional to 472,420, 651,939.60 and 260,452 is: 359,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,420 : 651,939.60 = 260,452 : x
  2. Step 2: Convert to fraction form
    472,420/651,939.60 = 260,452/x
  3. Step 3: Cross multiply
    472,420x = 651,939.60 × 260,452
  4. Step 4: Simplify right side
    472,420x = 169,798,972,699.20
  5. Step 5: Solve for x
    x = 169,798,972,699.20/472,420
  6. Step 6: Final answer
    x = 359,423.76

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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.