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Finding the Fourth Proportional to 866,714.40, 1,298,516.40 and 742,298.40

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Solution

The fourth proportional to 866,714.40, 1,298,516.40 and 742,298.40 is: 1,112,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,714.40 : 1,298,516.40 = 742,298.40 : x
  2. Step 2: Convert to fraction form
    866,714.40/1,298,516.40 = 742,298.40/x
  3. Step 3: Cross multiply
    866,714.40x = 1,298,516.40 × 742,298.40
  4. Step 4: Simplify right side
    866,714.40x = 963,886,646,093.76
  5. Step 5: Solve for x
    x = 963,886,646,093.76/866,714.40
  6. Step 6: Final answer
    x = 1,112,115.65

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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.