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Finding the Fourth Proportional to 611,378.70, 917,068.05 and 471,410.70

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Solution

The fourth proportional to 611,378.70, 917,068.05 and 471,410.70 is: 707,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,378.70 : 917,068.05 = 471,410.70 : x
  2. Step 2: Convert to fraction form
    611,378.70/917,068.05 = 471,410.70/x
  3. Step 3: Cross multiply
    611,378.70x = 917,068.05 × 471,410.70
  4. Step 4: Simplify right side
    611,378.70x = 432,315,691,398.14
  5. Step 5: Solve for x
    x = 432,315,691,398.14/611,378.70
  6. Step 6: Final answer
    x = 707,116.05

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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.