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Finding the Fourth Proportional to 489,006.40, 735,477.90 and 437,830.60

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Solution

The fourth proportional to 489,006.40, 735,477.90 and 437,830.60 is: 658,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,006.40 : 735,477.90 = 437,830.60 : x
  2. Step 2: Convert to fraction form
    489,006.40/735,477.90 = 437,830.60/x
  3. Step 3: Cross multiply
    489,006.40x = 735,477.90 × 437,830.60
  4. Step 4: Simplify right side
    489,006.40x = 322,014,730,243.74
  5. Step 5: Solve for x
    x = 322,014,730,243.74/489,006.40
  6. Step 6: Final answer
    x = 658,508.21

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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.