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Finding the Fourth Proportional to 470,340.09, 648,820.52 and 297,953.91

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Solution

The fourth proportional to 470,340.09, 648,820.52 and 297,953.91 is: 411,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,340.09 : 648,820.52 = 297,953.91 : x
  2. Step 2: Convert to fraction form
    470,340.09/648,820.52 = 297,953.91/x
  3. Step 3: Cross multiply
    470,340.09x = 648,820.52 × 297,953.91
  4. Step 4: Simplify right side
    470,340.09x = 193,318,609,332.46
  5. Step 5: Solve for x
    x = 193,318,609,332.46/470,340.09
  6. Step 6: Final answer
    x = 411,018.78

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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.