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Finding the Fourth Proportional to 565,536.34, 780,442.62 and 310,903.90

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Solution

The fourth proportional to 565,536.34, 780,442.62 and 310,903.90 is: 429,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,536.34 : 780,442.62 = 310,903.90 : x
  2. Step 2: Convert to fraction form
    565,536.34/780,442.62 = 310,903.90/x
  3. Step 3: Cross multiply
    565,536.34x = 780,442.62 × 310,903.90
  4. Step 4: Simplify right side
    565,536.34x = 242,642,654,284.22
  5. Step 5: Solve for x
    x = 242,642,654,284.22/565,536.34
  6. Step 6: Final answer
    x = 429,048.74

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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.