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Finding the Fourth Proportional to 346,512, 519,975.36 and 149,520

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Solution

The fourth proportional to 346,512, 519,975.36 and 149,520 is: 224,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,512 : 519,975.36 = 149,520 : x
  2. Step 2: Convert to fraction form
    346,512/519,975.36 = 149,520/x
  3. Step 3: Cross multiply
    346,512x = 519,975.36 × 149,520
  4. Step 4: Simplify right side
    346,512x = 77,746,715,827.20
  5. Step 5: Solve for x
    x = 77,746,715,827.20/346,512
  6. Step 6: Final answer
    x = 224,369.48

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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.