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Finding the Fourth Proportional to 559,501.50, 772,101.67 and 311,158.69

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Solution

The fourth proportional to 559,501.50, 772,101.67 and 311,158.69 is: 429,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,501.50 : 772,101.67 = 311,158.69 : x
  2. Step 2: Convert to fraction form
    559,501.50/772,101.67 = 311,158.69/x
  3. Step 3: Cross multiply
    559,501.50x = 772,101.67 × 311,158.69
  4. Step 4: Simplify right side
    559,501.50x = 240,246,144,230.82
  5. Step 5: Solve for x
    x = 240,246,144,230.82/559,501.50
  6. Step 6: Final answer
    x = 429,393.21

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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.