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Finding the Fourth Proportional to 470,040, 648,655.20 and 258,072

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Solution

The fourth proportional to 470,040, 648,655.20 and 258,072 is: 356,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,040 : 648,655.20 = 258,072 : x
  2. Step 2: Convert to fraction form
    470,040/648,655.20 = 258,072/x
  3. Step 3: Cross multiply
    470,040x = 648,655.20 × 258,072
  4. Step 4: Simplify right side
    470,040x = 167,399,744,774.40
  5. Step 5: Solve for x
    x = 167,399,744,774.40/470,040
  6. Step 6: Final answer
    x = 356,139.36

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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.