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Finding the Fourth Proportional to 309,543.36, 463,508.64 and 169,013.76

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Solution

The fourth proportional to 309,543.36, 463,508.64 and 169,013.76 is: 253,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,543.36 : 463,508.64 = 169,013.76 : x
  2. Step 2: Convert to fraction form
    309,543.36/463,508.64 = 169,013.76/x
  3. Step 3: Cross multiply
    309,543.36x = 463,508.64 × 169,013.76
  4. Step 4: Simplify right side
    309,543.36x = 78,339,338,038.89
  5. Step 5: Solve for x
    x = 78,339,338,038.89/309,543.36
  6. Step 6: Final answer
    x = 253,080.34

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1.5x scale

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.