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Finding the Fourth Proportional to 470,386.50, 649,133.37 and 258,418.50

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Solution

The fourth proportional to 470,386.50, 649,133.37 and 258,418.50 is: 356,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,386.50 : 649,133.37 = 258,418.50 : x
  2. Step 2: Convert to fraction form
    470,386.50/649,133.37 = 258,418.50/x
  3. Step 3: Cross multiply
    470,386.50x = 649,133.37 × 258,418.50
  4. Step 4: Simplify right side
    470,386.50x = 167,748,071,775.35
  5. Step 5: Solve for x
    x = 167,748,071,775.35/470,386.50
  6. Step 6: Final answer
    x = 356,617.53

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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.