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Finding the Fourth Proportional to 359,911, 496,677.18 and 209,017.72

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Solution

The fourth proportional to 359,911, 496,677.18 and 209,017.72 is: 288,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,911 : 496,677.18 = 209,017.72 : x
  2. Step 2: Convert to fraction form
    359,911/496,677.18 = 209,017.72/x
  3. Step 3: Cross multiply
    359,911x = 496,677.18 × 209,017.72
  4. Step 4: Simplify right side
    359,911x = 103,814,331,739.63
  5. Step 5: Solve for x
    x = 103,814,331,739.63/359,911
  6. Step 6: Final answer
    x = 288,444.45

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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.