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Finding the Fourth Proportional to 470,765.70, 706,148.55 and 312,480.90

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Solution

The fourth proportional to 470,765.70, 706,148.55 and 312,480.90 is: 468,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,765.70 : 706,148.55 = 312,480.90 : x
  2. Step 2: Convert to fraction form
    470,765.70/706,148.55 = 312,480.90/x
  3. Step 3: Cross multiply
    470,765.70x = 706,148.55 × 312,480.90
  4. Step 4: Simplify right side
    470,765.70x = 220,657,934,437.70
  5. Step 5: Solve for x
    x = 220,657,934,437.70/470,765.70
  6. Step 6: Final answer
    x = 468,721.35

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Similar ratio
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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.