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Finding the Fourth Proportional to 496,977.40, 745,466.10 and 458,486.20

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Solution

The fourth proportional to 496,977.40, 745,466.10 and 458,486.20 is: 687,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,977.40 : 745,466.10 = 458,486.20 : x
  2. Step 2: Convert to fraction form
    496,977.40/745,466.10 = 458,486.20/x
  3. Step 3: Cross multiply
    496,977.40x = 745,466.10 × 458,486.20
  4. Step 4: Simplify right side
    496,977.40x = 341,785,919,417.82
  5. Step 5: Solve for x
    x = 341,785,919,417.82/496,977.40
  6. Step 6: Final answer
    x = 687,729.30

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1.5x scale

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.