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Finding the Fourth Proportional to 563,056.68, 777,018.42 and 308,412.12

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Solution

The fourth proportional to 563,056.68, 777,018.42 and 308,412.12 is: 425,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,056.68 : 777,018.42 = 308,412.12 : x
  2. Step 2: Convert to fraction form
    563,056.68/777,018.42 = 308,412.12/x
  3. Step 3: Cross multiply
    563,056.68x = 777,018.42 × 308,412.12
  4. Step 4: Simplify right side
    563,056.68x = 239,641,898,191.25
  5. Step 5: Solve for x
    x = 239,641,898,191.25/563,056.68
  6. Step 6: Final answer
    x = 425,608.84

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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.