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Finding the Fourth Proportional to 642,000.80, 965,074.80 and 456,298.40

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Solution

The fourth proportional to 642,000.80, 965,074.80 and 456,298.40 is: 685,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,000.80 : 965,074.80 = 456,298.40 : x
  2. Step 2: Convert to fraction form
    642,000.80/965,074.80 = 456,298.40/x
  3. Step 3: Cross multiply
    642,000.80x = 965,074.80 × 456,298.40
  4. Step 4: Simplify right side
    642,000.80x = 440,362,087,120.32
  5. Step 5: Solve for x
    x = 440,362,087,120.32/642,000.80
  6. Step 6: Final answer
    x = 685,921.40

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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.