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Finding the Fourth Proportional to 750,913.80, 1,036,264.50 and 411,381

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Solution

The fourth proportional to 750,913.80, 1,036,264.50 and 411,381 is: 567,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,913.80 : 1,036,264.50 = 411,381 : x
  2. Step 2: Convert to fraction form
    750,913.80/1,036,264.50 = 411,381/x
  3. Step 3: Cross multiply
    750,913.80x = 1,036,264.50 × 411,381
  4. Step 4: Simplify right side
    750,913.80x = 426,299,526,274.50
  5. Step 5: Solve for x
    x = 426,299,526,274.50/750,913.80
  6. Step 6: Final answer
    x = 567,707.67

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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.