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Finding the Fourth Proportional to 470,689.30, 649,557.81 and 255,829.30

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Solution

The fourth proportional to 470,689.30, 649,557.81 and 255,829.30 is: 353,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,689.30 : 649,557.81 = 255,829.30 : x
  2. Step 2: Convert to fraction form
    470,689.30/649,557.81 = 255,829.30/x
  3. Step 3: Cross multiply
    470,689.30x = 649,557.81 × 255,829.30
  4. Step 4: Simplify right side
    470,689.30x = 166,175,919,841.83
  5. Step 5: Solve for x
    x = 166,175,919,841.83/470,689.30
  6. Step 6: Final answer
    x = 353,048.01

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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.