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Finding the Fourth Proportional to 289,284.93, 433,955.95 and 99,720.34

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Solution

The fourth proportional to 289,284.93, 433,955.95 and 99,720.34 is: 149,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,284.93 : 433,955.95 = 99,720.34 : x
  2. Step 2: Convert to fraction form
    289,284.93/433,955.95 = 99,720.34/x
  3. Step 3: Cross multiply
    289,284.93x = 433,955.95 × 99,720.34
  4. Step 4: Simplify right side
    289,284.93x = 43,274,234,879.02
  5. Step 5: Solve for x
    x = 43,274,234,879.02/289,284.93
  6. Step 6: Final answer
    x = 149,590.35

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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.