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Finding the Fourth Proportional to 564,679.50, 847,030.20 and 138,219.06

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Solution

The fourth proportional to 564,679.50, 847,030.20 and 138,219.06 is: 207,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,679.50 : 847,030.20 = 138,219.06 : x
  2. Step 2: Convert to fraction form
    564,679.50/847,030.20 = 138,219.06/x
  3. Step 3: Cross multiply
    564,679.50x = 847,030.20 × 138,219.06
  4. Step 4: Simplify right side
    564,679.50x = 117,075,718,035.61
  5. Step 5: Solve for x
    x = 117,075,718,035.61/564,679.50
  6. Step 6: Final answer
    x = 207,331.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.