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Finding the Fourth Proportional to 470,764.20, 705,368.70 and 400,780.20

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Solution

The fourth proportional to 470,764.20, 705,368.70 and 400,780.20 is: 600,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,764.20 : 705,368.70 = 400,780.20 : x
  2. Step 2: Convert to fraction form
    470,764.20/705,368.70 = 400,780.20/x
  3. Step 3: Cross multiply
    470,764.20x = 705,368.70 × 400,780.20
  4. Step 4: Simplify right side
    470,764.20x = 282,697,808,659.74
  5. Step 5: Solve for x
    x = 282,697,808,659.74/470,764.20
  6. Step 6: Final answer
    x = 600,508.30

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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.