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Finding the Fourth Proportional to 312,044,762.40, 468,123,130.80 and 130,310,311.20

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Solution

The fourth proportional to 312,044,762.40, 468,123,130.80 and 130,310,311.20 is: 195,488,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,044,762.40 : 468,123,130.80 = 130,310,311.20 : x
  2. Step 2: Convert to fraction form
    312,044,762.40/468,123,130.80 = 130,310,311.20/x
  3. Step 3: Cross multiply
    312,044,762.40x = 468,123,130.80 × 130,310,311.20
  4. Step 4: Simplify right side
    312,044,762.40x = 61,001,270,854,466,304
  5. Step 5: Solve for x
    x = 61,001,270,854,466,304/312,044,762.40
  6. Step 6: Final answer
    x = 195,488,847.13

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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.