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Finding the Fourth Proportional to 563,051.86, 777,021.66 and 308,386.64

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Solution

The fourth proportional to 563,051.86, 777,021.66 and 308,386.64 is: 425,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,051.86 : 777,021.66 = 308,386.64 : x
  2. Step 2: Convert to fraction form
    563,051.86/777,021.66 = 308,386.64/x
  3. Step 3: Cross multiply
    563,051.86x = 777,021.66 × 308,386.64
  4. Step 4: Simplify right side
    563,051.86x = 239,623,100,877.18
  5. Step 5: Solve for x
    x = 239,623,100,877.18/563,051.86
  6. Step 6: Final answer
    x = 425,579.10

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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.