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Finding the Fourth Proportional to 488,586.70, 732,880.05 and 409,854.70

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Solution

The fourth proportional to 488,586.70, 732,880.05 and 409,854.70 is: 614,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,586.70 : 732,880.05 = 409,854.70 : x
  2. Step 2: Convert to fraction form
    488,586.70/732,880.05 = 409,854.70/x
  3. Step 3: Cross multiply
    488,586.70x = 732,880.05 × 409,854.70
  4. Step 4: Simplify right side
    488,586.70x = 300,374,333,028.74
  5. Step 5: Solve for x
    x = 300,374,333,028.74/488,586.70
  6. Step 6: Final answer
    x = 614,782.05

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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.