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Finding the Fourth Proportional to 458,810.40, 688,215.60 and 450,937.20

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Solution

The fourth proportional to 458,810.40, 688,215.60 and 450,937.20 is: 676,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,810.40 : 688,215.60 = 450,937.20 : x
  2. Step 2: Convert to fraction form
    458,810.40/688,215.60 = 450,937.20/x
  3. Step 3: Cross multiply
    458,810.40x = 688,215.60 × 450,937.20
  4. Step 4: Simplify right side
    458,810.40x = 310,342,015,660.32
  5. Step 5: Solve for x
    x = 310,342,015,660.32/458,810.40
  6. Step 6: Final answer
    x = 676,405.80

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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.