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Finding the Fourth Proportional to 489,630.20, 735,482.10 and 472,004.60

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Solution

The fourth proportional to 489,630.20, 735,482.10 and 472,004.60 is: 709,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,630.20 : 735,482.10 = 472,004.60 : x
  2. Step 2: Convert to fraction form
    489,630.20/735,482.10 = 472,004.60/x
  3. Step 3: Cross multiply
    489,630.20x = 735,482.10 × 472,004.60
  4. Step 4: Simplify right side
    489,630.20x = 347,150,934,417.66
  5. Step 5: Solve for x
    x = 347,150,934,417.66/489,630.20
  6. Step 6: Final answer
    x = 709,006.38

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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.