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Finding the Fourth Proportional to 380,547.68, 525,149.13 and 208,469.06

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Solution

The fourth proportional to 380,547.68, 525,149.13 and 208,469.06 is: 287,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,547.68 : 525,149.13 = 208,469.06 : x
  2. Step 2: Convert to fraction form
    380,547.68/525,149.13 = 208,469.06/x
  3. Step 3: Cross multiply
    380,547.68x = 525,149.13 × 208,469.06
  4. Step 4: Simplify right side
    380,547.68x = 109,477,345,490.92
  5. Step 5: Solve for x
    x = 109,477,345,490.92/380,547.68
  6. Step 6: Final answer
    x = 287,683.65

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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.