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Finding the Fourth Proportional to 472,929.60, 709,394.40 and 413,880.60

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Solution

The fourth proportional to 472,929.60, 709,394.40 and 413,880.60 is: 620,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,929.60 : 709,394.40 = 413,880.60 : x
  2. Step 2: Convert to fraction form
    472,929.60/709,394.40 = 413,880.60/x
  3. Step 3: Cross multiply
    472,929.60x = 709,394.40 × 413,880.60
  4. Step 4: Simplify right side
    472,929.60x = 293,604,579,908.64
  5. Step 5: Solve for x
    x = 293,604,579,908.64/472,929.60
  6. Step 6: Final answer
    x = 620,820.90

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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.