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Finding the Fourth Proportional to 489,641.60, 734,462.40 and 462,085.40

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Solution

The fourth proportional to 489,641.60, 734,462.40 and 462,085.40 is: 693,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,641.60 : 734,462.40 = 462,085.40 : x
  2. Step 2: Convert to fraction form
    489,641.60/734,462.40 = 462,085.40/x
  3. Step 3: Cross multiply
    489,641.60x = 734,462.40 × 462,085.40
  4. Step 4: Simplify right side
    489,641.60x = 339,384,351,888.96
  5. Step 5: Solve for x
    x = 339,384,351,888.96/489,641.60
  6. Step 6: Final answer
    x = 693,128.10

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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.