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Finding the Fourth Proportional to 404,865.60, 607,298.40 and 138,602.40

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Solution

The fourth proportional to 404,865.60, 607,298.40 and 138,602.40 is: 207,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,865.60 : 607,298.40 = 138,602.40 : x
  2. Step 2: Convert to fraction form
    404,865.60/607,298.40 = 138,602.40/x
  3. Step 3: Cross multiply
    404,865.60x = 607,298.40 × 138,602.40
  4. Step 4: Simplify right side
    404,865.60x = 84,173,015,756.16
  5. Step 5: Solve for x
    x = 84,173,015,756.16/404,865.60
  6. Step 6: Final answer
    x = 207,903.60

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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.