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Finding the Fourth Proportional to 385,547.52, 532,055.52 and 215,781.64

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Solution

The fourth proportional to 385,547.52, 532,055.52 and 215,781.64 is: 297,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,547.52 : 532,055.52 = 215,781.64 : x
  2. Step 2: Convert to fraction form
    385,547.52/532,055.52 = 215,781.64/x
  3. Step 3: Cross multiply
    385,547.52x = 532,055.52 × 215,781.64
  4. Step 4: Simplify right side
    385,547.52x = 114,807,812,676.65
  5. Step 5: Solve for x
    x = 114,807,812,676.65/385,547.52
  6. Step 6: Final answer
    x = 297,778.63

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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.