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Finding the Fourth Proportional to 340,019.84, 510,030.10 and 126,784.50

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Solution

The fourth proportional to 340,019.84, 510,030.10 and 126,784.50 is: 190,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,019.84 : 510,030.10 = 126,784.50 : x
  2. Step 2: Convert to fraction form
    340,019.84/510,030.10 = 126,784.50/x
  3. Step 3: Cross multiply
    340,019.84x = 510,030.10 × 126,784.50
  4. Step 4: Simplify right side
    340,019.84x = 64,663,911,213.45
  5. Step 5: Solve for x
    x = 64,663,911,213.45/340,019.84
  6. Step 6: Final answer
    x = 190,176.88

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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.