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Finding the Fourth Proportional to 353,666.16, 487,838.64 and 215,782.08

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Solution

The fourth proportional to 353,666.16, 487,838.64 and 215,782.08 is: 297,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,666.16 : 487,838.64 = 215,782.08 : x
  2. Step 2: Convert to fraction form
    353,666.16/487,838.64 = 215,782.08/x
  3. Step 3: Cross multiply
    353,666.16x = 487,838.64 × 215,782.08
  4. Step 4: Simplify right side
    353,666.16x = 105,266,836,443.57
  5. Step 5: Solve for x
    x = 105,266,836,443.57/353,666.16
  6. Step 6: Final answer
    x = 297,644.64

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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.