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Finding the Fourth Proportional to 341,425.80, 510,972.30 and 299,435.40

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Solution

The fourth proportional to 341,425.80, 510,972.30 and 299,435.40 is: 448,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,425.80 : 510,972.30 = 299,435.40 : x
  2. Step 2: Convert to fraction form
    341,425.80/510,972.30 = 299,435.40/x
  3. Step 3: Cross multiply
    341,425.80x = 510,972.30 × 299,435.40
  4. Step 4: Simplify right side
    341,425.80x = 153,003,195,039.42
  5. Step 5: Solve for x
    x = 153,003,195,039.42/341,425.80
  6. Step 6: Final answer
    x = 448,130.15

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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.