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Finding the Fourth Proportional to 470,078.20, 705,117.30 and 451,707.40

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Solution

The fourth proportional to 470,078.20, 705,117.30 and 451,707.40 is: 677,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,078.20 : 705,117.30 = 451,707.40 : x
  2. Step 2: Convert to fraction form
    470,078.20/705,117.30 = 451,707.40/x
  3. Step 3: Cross multiply
    470,078.20x = 705,117.30 × 451,707.40
  4. Step 4: Simplify right side
    470,078.20x = 318,506,702,278.02
  5. Step 5: Solve for x
    x = 318,506,702,278.02/470,078.20
  6. Step 6: Final answer
    x = 677,561.10

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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.