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Finding the Fourth Proportional to 587,428, 810,719.76 and 348,964

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Solution

The fourth proportional to 587,428, 810,719.76 and 348,964 is: 481,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,428 : 810,719.76 = 348,964 : x
  2. Step 2: Convert to fraction form
    587,428/810,719.76 = 348,964/x
  3. Step 3: Cross multiply
    587,428x = 810,719.76 × 348,964
  4. Step 4: Simplify right side
    587,428x = 282,912,010,328.64
  5. Step 5: Solve for x
    x = 282,912,010,328.64/587,428
  6. Step 6: Final answer
    x = 481,611.38

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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.