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Finding the Fourth Proportional to 497,218.80, 745,925.40 and 212,908.80

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Solution

The fourth proportional to 497,218.80, 745,925.40 and 212,908.80 is: 319,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,218.80 : 745,925.40 = 212,908.80 : x
  2. Step 2: Convert to fraction form
    497,218.80/745,925.40 = 212,908.80/x
  3. Step 3: Cross multiply
    497,218.80x = 745,925.40 × 212,908.80
  4. Step 4: Simplify right side
    497,218.80x = 158,814,081,803.52
  5. Step 5: Solve for x
    x = 158,814,081,803.52/497,218.80
  6. Step 6: Final answer
    x = 319,404.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.