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Finding the Fourth Proportional to 343,073.36, 514,715.92 and 153,693.20

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Solution

The fourth proportional to 343,073.36, 514,715.92 and 153,693.20 is: 230,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,073.36 : 514,715.92 = 153,693.20 : x
  2. Step 2: Convert to fraction form
    343,073.36/514,715.92 = 153,693.20/x
  3. Step 3: Cross multiply
    343,073.36x = 514,715.92 × 153,693.20
  4. Step 4: Simplify right side
    343,073.36x = 79,108,336,835.74
  5. Step 5: Solve for x
    x = 79,108,336,835.74/343,073.36
  6. Step 6: Final answer
    x = 230,587.23

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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.