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Finding the Fourth Proportional to 307,547.51, 424,415.82 and 171,581.48

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Solution

The fourth proportional to 307,547.51, 424,415.82 and 171,581.48 is: 236,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,547.51 : 424,415.82 = 171,581.48 : x
  2. Step 2: Convert to fraction form
    307,547.51/424,415.82 = 171,581.48/x
  3. Step 3: Cross multiply
    307,547.51x = 424,415.82 × 171,581.48
  4. Step 4: Simplify right side
    307,547.51x = 72,821,894,322.21
  5. Step 5: Solve for x
    x = 72,821,894,322.21/307,547.51
  6. Step 6: Final answer
    x = 236,782.59

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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.