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Finding the Fourth Proportional to 653,101.70, 978,340.35 and 372,290.90

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Solution

The fourth proportional to 653,101.70, 978,340.35 and 372,290.90 is: 557,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,101.70 : 978,340.35 = 372,290.90 : x
  2. Step 2: Convert to fraction form
    653,101.70/978,340.35 = 372,290.90/x
  3. Step 3: Cross multiply
    653,101.70x = 978,340.35 × 372,290.90
  4. Step 4: Simplify right side
    653,101.70x = 364,227,209,407.82
  5. Step 5: Solve for x
    x = 364,227,209,407.82/653,101.70
  6. Step 6: Final answer
    x = 557,688.35

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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.