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Finding the Fourth Proportional to 353,498.64, 487,666.80 and 210,177.12

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Solution

The fourth proportional to 353,498.64, 487,666.80 and 210,177.12 is: 289,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,498.64 : 487,666.80 = 210,177.12 : x
  2. Step 2: Convert to fraction form
    353,498.64/487,666.80 = 210,177.12/x
  3. Step 3: Cross multiply
    353,498.64x = 487,666.80 × 210,177.12
  4. Step 4: Simplify right side
    353,498.64x = 102,496,403,543.62
  5. Step 5: Solve for x
    x = 102,496,403,543.62/353,498.64
  6. Step 6: Final answer
    x = 289,948.51

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1.5x scale

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.