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Finding the Fourth Proportional to 338,743.82, 508,312.51 and 151,755.32

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Solution

The fourth proportional to 338,743.82, 508,312.51 and 151,755.32 is: 227,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,743.82 : 508,312.51 = 151,755.32 : x
  2. Step 2: Convert to fraction form
    338,743.82/508,312.51 = 151,755.32/x
  3. Step 3: Cross multiply
    338,743.82x = 508,312.51 × 151,755.32
  4. Step 4: Simplify right side
    338,743.82x = 77,139,124,314.71
  5. Step 5: Solve for x
    x = 77,139,124,314.71/338,743.82
  6. Step 6: Final answer
    x = 227,721.13

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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.