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Finding the Fourth Proportional to 309,051.38, 426,417.80 and 174,915.38

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Solution

The fourth proportional to 309,051.38, 426,417.80 and 174,915.38 is: 241,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,051.38 : 426,417.80 = 174,915.38 : x
  2. Step 2: Convert to fraction form
    309,051.38/426,417.80 = 174,915.38/x
  3. Step 3: Cross multiply
    309,051.38x = 426,417.80 × 174,915.38
  4. Step 4: Simplify right side
    309,051.38x = 74,587,031,525.76
  5. Step 5: Solve for x
    x = 74,587,031,525.76/309,051.38
  6. Step 6: Final answer
    x = 241,341.85

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1.5x scale

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.