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Finding the Fourth Proportional to 343,058.90, 514,549.40 and 90,359.16

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Solution

The fourth proportional to 343,058.90, 514,549.40 and 90,359.16 is: 135,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,058.90 : 514,549.40 = 90,359.16 : x
  2. Step 2: Convert to fraction form
    343,058.90/514,549.40 = 90,359.16/x
  3. Step 3: Cross multiply
    343,058.90x = 514,549.40 × 90,359.16
  4. Step 4: Simplify right side
    343,058.90x = 46,494,251,562.50
  5. Step 5: Solve for x
    x = 46,494,251,562.50/343,058.90
  6. Step 6: Final answer
    x = 135,528.48

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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.