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Finding the Fourth Proportional to 470,655.50, 649,505.55 and 258,687.50

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Solution

The fourth proportional to 470,655.50, 649,505.55 and 258,687.50 is: 356,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,655.50 : 649,505.55 = 258,687.50 : x
  2. Step 2: Convert to fraction form
    470,655.50/649,505.55 = 258,687.50/x
  3. Step 3: Cross multiply
    470,655.50x = 649,505.55 × 258,687.50
  4. Step 4: Simplify right side
    470,655.50x = 168,018,966,965.63
  5. Step 5: Solve for x
    x = 168,018,966,965.63/470,655.50
  6. Step 6: Final answer
    x = 356,989.28

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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.