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Finding the Fourth Proportional to 477,705.16, 716,442.30 and 140,654.08

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Solution

The fourth proportional to 477,705.16, 716,442.30 and 140,654.08 is: 210,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,705.16 : 716,442.30 = 140,654.08 : x
  2. Step 2: Convert to fraction form
    477,705.16/716,442.30 = 140,654.08/x
  3. Step 3: Cross multiply
    477,705.16x = 716,442.30 × 140,654.08
  4. Step 4: Simplify right side
    477,705.16x = 100,770,532,579.58
  5. Step 5: Solve for x
    x = 100,770,532,579.58/477,705.16
  6. Step 6: Final answer
    x = 210,947.13

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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.