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Finding the Fourth Proportional to 346,513, 519,976.86 and 149,521

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Solution

The fourth proportional to 346,513, 519,976.86 and 149,521 is: 224,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,513 : 519,976.86 = 149,521 : x
  2. Step 2: Convert to fraction form
    346,513/519,976.86 = 149,521/x
  3. Step 3: Cross multiply
    346,513x = 519,976.86 × 149,521
  4. Step 4: Simplify right side
    346,513x = 77,747,460,084.06
  5. Step 5: Solve for x
    x = 77,747,460,084.06/346,513
  6. Step 6: Final answer
    x = 224,370.98

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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.