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Finding the Fourth Proportional to 407,114.40, 610,671.60 and 365,780.10

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Solution

The fourth proportional to 407,114.40, 610,671.60 and 365,780.10 is: 548,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,114.40 : 610,671.60 = 365,780.10 : x
  2. Step 2: Convert to fraction form
    407,114.40/610,671.60 = 365,780.10/x
  3. Step 3: Cross multiply
    407,114.40x = 610,671.60 × 365,780.10
  4. Step 4: Simplify right side
    407,114.40x = 223,371,518,915.16
  5. Step 5: Solve for x
    x = 223,371,518,915.16/407,114.40
  6. Step 6: Final answer
    x = 548,670.15

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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.