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Finding the Fourth Proportional to 559,503.50, 772,104.42 and 311,160.70

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Solution

The fourth proportional to 559,503.50, 772,104.42 and 311,160.70 is: 429,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,503.50 : 772,104.42 = 311,160.70 : x
  2. Step 2: Convert to fraction form
    559,503.50/772,104.42 = 311,160.70/x
  3. Step 3: Cross multiply
    559,503.50x = 772,104.42 × 311,160.70
  4. Step 4: Simplify right side
    559,503.50x = 240,248,551,800.29
  5. Step 5: Solve for x
    x = 240,248,551,800.29/559,503.50
  6. Step 6: Final answer
    x = 429,395.98

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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.