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Finding the Fourth Proportional to 611,856.06, 917,689.14 and 312,557.82

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Solution

The fourth proportional to 611,856.06, 917,689.14 and 312,557.82 is: 468,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,856.06 : 917,689.14 = 312,557.82 : x
  2. Step 2: Convert to fraction form
    611,856.06/917,689.14 = 312,557.82/x
  3. Step 3: Cross multiply
    611,856.06x = 917,689.14 × 312,557.82
  4. Step 4: Simplify right side
    611,856.06x = 286,830,917,036.08
  5. Step 5: Solve for x
    x = 286,830,917,036.08/611,856.06
  6. Step 6: Final answer
    x = 468,788.23

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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.