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Finding the Fourth Proportional to 470,806.20, 706,209.30 and 312,521.40

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Solution

The fourth proportional to 470,806.20, 706,209.30 and 312,521.40 is: 468,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,806.20 : 706,209.30 = 312,521.40 : x
  2. Step 2: Convert to fraction form
    470,806.20/706,209.30 = 312,521.40/x
  3. Step 3: Cross multiply
    470,806.20x = 706,209.30 × 312,521.40
  4. Step 4: Simplify right side
    470,806.20x = 220,705,519,129.02
  5. Step 5: Solve for x
    x = 220,705,519,129.02/470,806.20
  6. Step 6: Final answer
    x = 468,782.10

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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.