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Finding the Fourth Proportional to 309,254.79, 463,894.44 and 147,109.89

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Solution

The fourth proportional to 309,254.79, 463,894.44 and 147,109.89 is: 220,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,254.79 : 463,894.44 = 147,109.89 : x
  2. Step 2: Convert to fraction form
    309,254.79/463,894.44 = 147,109.89/x
  3. Step 3: Cross multiply
    309,254.79x = 463,894.44 × 147,109.89
  4. Step 4: Simplify right side
    309,254.79x = 68,243,459,304.46
  5. Step 5: Solve for x
    x = 68,243,459,304.46/309,254.79
  6. Step 6: Final answer
    x = 220,670.66

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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.