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Finding the Fourth Proportional to 303,047.13, 454,570.65 and 287,894.06

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Solution

The fourth proportional to 303,047.13, 454,570.65 and 287,894.06 is: 431,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,047.13 : 454,570.65 = 287,894.06 : x
  2. Step 2: Convert to fraction form
    303,047.13/454,570.65 = 287,894.06/x
  3. Step 3: Cross multiply
    303,047.13x = 454,570.65 × 287,894.06
  4. Step 4: Simplify right side
    303,047.13x = 130,868,189,985.34
  5. Step 5: Solve for x
    x = 130,868,189,985.34/303,047.13
  6. Step 6: Final answer
    x = 431,841.05

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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.