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Finding the Fourth Proportional to 470,345.59, 648,828.10 and 297,959.41

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Solution

The fourth proportional to 470,345.59, 648,828.10 and 297,959.41 is: 411,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,345.59 : 648,828.10 = 297,959.41 : x
  2. Step 2: Convert to fraction form
    470,345.59/648,828.10 = 297,959.41/x
  3. Step 3: Cross multiply
    470,345.59x = 648,828.10 × 297,959.41
  4. Step 4: Simplify right side
    470,345.59x = 193,324,437,867.42
  5. Step 5: Solve for x
    x = 193,324,437,867.42/470,345.59
  6. Step 6: Final answer
    x = 411,026.36

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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.