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Finding the Fourth Proportional to 563,460.42, 777,577.76 and 305,337.93

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Solution

The fourth proportional to 563,460.42, 777,577.76 and 305,337.93 is: 421,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,460.42 : 777,577.76 = 305,337.93 : x
  2. Step 2: Convert to fraction form
    563,460.42/777,577.76 = 305,337.93/x
  3. Step 3: Cross multiply
    563,460.42x = 777,577.76 × 305,337.93
  4. Step 4: Simplify right side
    563,460.42x = 237,423,983,652.44
  5. Step 5: Solve for x
    x = 237,423,983,652.44/563,460.42
  6. Step 6: Final answer
    x = 421,367.63

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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.