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Finding the Fourth Proportional to 508,210.58, 762,386.26 and 171,347.66

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Solution

The fourth proportional to 508,210.58, 762,386.26 and 171,347.66 is: 257,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,210.58 : 762,386.26 = 171,347.66 : x
  2. Step 2: Convert to fraction form
    508,210.58/762,386.26 = 171,347.66/x
  3. Step 3: Cross multiply
    508,210.58x = 762,386.26 × 171,347.66
  4. Step 4: Simplify right side
    508,210.58x = 130,633,101,667.15
  5. Step 5: Solve for x
    x = 130,633,101,667.15/508,210.58
  6. Step 6: Final answer
    x = 257,045.22

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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.