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Finding the Fourth Proportional to 611,856.35, 917,689.74 and 312,558.11

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Solution

The fourth proportional to 611,856.35, 917,689.74 and 312,558.11 is: 468,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,856.35 : 917,689.74 = 312,558.11 : x
  2. Step 2: Convert to fraction form
    611,856.35/917,689.74 = 312,558.11/x
  3. Step 3: Cross multiply
    611,856.35x = 917,689.74 × 312,558.11
  4. Step 4: Simplify right side
    611,856.35x = 286,831,366,112.34
  5. Step 5: Solve for x
    x = 286,831,366,112.34/611,856.35
  6. Step 6: Final answer
    x = 468,788.74

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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.