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Finding the Fourth Proportional to 330,113.74, 455,567.88 and 186,870.82

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Solution

The fourth proportional to 330,113.74, 455,567.88 and 186,870.82 is: 257,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,113.74 : 455,567.88 = 186,870.82 : x
  2. Step 2: Convert to fraction form
    330,113.74/455,567.88 = 186,870.82/x
  3. Step 3: Cross multiply
    330,113.74x = 455,567.88 × 186,870.82
  4. Step 4: Simplify right side
    330,113.74x = 85,132,343,301.26
  5. Step 5: Solve for x
    x = 85,132,343,301.26/330,113.74
  6. Step 6: Final answer
    x = 257,887.91

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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.