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Finding the Fourth Proportional to 507,984.21, 700,494.92 and 354,966.64

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Solution

The fourth proportional to 507,984.21, 700,494.92 and 354,966.64 is: 489,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,984.21 : 700,494.92 = 354,966.64 : x
  2. Step 2: Convert to fraction form
    507,984.21/700,494.92 = 354,966.64/x
  3. Step 3: Cross multiply
    507,984.21x = 700,494.92 × 354,966.64
  4. Step 4: Simplify right side
    507,984.21x = 248,652,325,894.52
  5. Step 5: Solve for x
    x = 248,652,325,894.52/507,984.21
  6. Step 6: Final answer
    x = 489,488.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.