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Finding the Fourth Proportional to 284,000,615.40, 425,664,999.90 and 147,615,796.20

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Solution

The fourth proportional to 284,000,615.40, 425,664,999.90 and 147,615,796.20 is: 221,249,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,000,615.40 : 425,664,999.90 = 147,615,796.20 : x
  2. Step 2: Convert to fraction form
    284,000,615.40/425,664,999.90 = 147,615,796.20/x
  3. Step 3: Cross multiply
    284,000,615.40x = 425,664,999.90 × 147,615,796.20
  4. Step 4: Simplify right side
    284,000,615.40x = 62,834,877,874,711,408
  5. Step 5: Solve for x
    x = 62,834,877,874,711,408/284,000,615.40
  6. Step 6: Final answer
    x = 221,249,090.56

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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.