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Finding the Fourth Proportional to 340,367.48, 469,703.31 and 187,402.50

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Solution

The fourth proportional to 340,367.48, 469,703.31 and 187,402.50 is: 258,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,367.48 : 469,703.31 = 187,402.50 : x
  2. Step 2: Convert to fraction form
    340,367.48/469,703.31 = 187,402.50/x
  3. Step 3: Cross multiply
    340,367.48x = 469,703.31 × 187,402.50
  4. Step 4: Simplify right side
    340,367.48x = 88,023,574,552.28
  5. Step 5: Solve for x
    x = 88,023,574,552.28/340,367.48
  6. Step 6: Final answer
    x = 258,613.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.