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Finding the Fourth Proportional to 471,978.12, 650,692.98 and 457,301.64

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Solution

The fourth proportional to 471,978.12, 650,692.98 and 457,301.64 is: 630,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,978.12 : 650,692.98 = 457,301.64 : x
  2. Step 2: Convert to fraction form
    471,978.12/650,692.98 = 457,301.64/x
  3. Step 3: Cross multiply
    471,978.12x = 650,692.98 × 457,301.64
  4. Step 4: Simplify right side
    471,978.12x = 297,562,966,890.49
  5. Step 5: Solve for x
    x = 297,562,966,890.49/471,978.12
  6. Step 6: Final answer
    x = 630,459.24

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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.