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Finding the Fourth Proportional to 488,004.20, 732,006.30 and 411,021.80

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Solution

The fourth proportional to 488,004.20, 732,006.30 and 411,021.80 is: 616,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,004.20 : 732,006.30 = 411,021.80 : x
  2. Step 2: Convert to fraction form
    488,004.20/732,006.30 = 411,021.80/x
  3. Step 3: Cross multiply
    488,004.20x = 732,006.30 × 411,021.80
  4. Step 4: Simplify right side
    488,004.20x = 300,870,547,037.34
  5. Step 5: Solve for x
    x = 300,870,547,037.34/488,004.20
  6. Step 6: Final answer
    x = 616,532.70

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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.