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Finding the Fourth Proportional to 313,670,718.40, 470,506,077.60 and 288,588,452.80

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Solution

The fourth proportional to 313,670,718.40, 470,506,077.60 and 288,588,452.80 is: 432,882,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,670,718.40 : 470,506,077.60 = 288,588,452.80 : x
  2. Step 2: Convert to fraction form
    313,670,718.40/470,506,077.60 = 288,588,452.80/x
  3. Step 3: Cross multiply
    313,670,718.40x = 470,506,077.60 × 288,588,452.80
  4. Step 4: Simplify right side
    313,670,718.40x = 135,782,620,967,580,752
  5. Step 5: Solve for x
    x = 135,782,620,967,580,752/313,670,718.40
  6. Step 6: Final answer
    x = 432,882,679.20

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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.