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Finding the Fourth Proportional to 470,548, 649,356.24 and 258,580

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Solution

The fourth proportional to 470,548, 649,356.24 and 258,580 is: 356,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,548 : 649,356.24 = 258,580 : x
  2. Step 2: Convert to fraction form
    470,548/649,356.24 = 258,580/x
  3. Step 3: Cross multiply
    470,548x = 649,356.24 × 258,580
  4. Step 4: Simplify right side
    470,548x = 167,910,536,539.20
  5. Step 5: Solve for x
    x = 167,910,536,539.20/470,548
  6. Step 6: Final answer
    x = 356,840.40

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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.