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Finding the Fourth Proportional to 611,820.78, 918,291.47 and 312,511.20

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Solution

The fourth proportional to 611,820.78, 918,291.47 and 312,511.20 is: 469,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,820.78 : 918,291.47 = 312,511.20 : x
  2. Step 2: Convert to fraction form
    611,820.78/918,291.47 = 312,511.20/x
  3. Step 3: Cross multiply
    611,820.78x = 918,291.47 × 312,511.20
  4. Step 4: Simplify right side
    611,820.78x = 286,976,369,239.46
  5. Step 5: Solve for x
    x = 286,976,369,239.46/611,820.78
  6. Step 6: Final answer
    x = 469,052.99

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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.