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Finding the Fourth Proportional to 407,280.96, 610,804.80 and 140,972.40

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Solution

The fourth proportional to 407,280.96, 610,804.80 and 140,972.40 is: 211,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,280.96 : 610,804.80 = 140,972.40 : x
  2. Step 2: Convert to fraction form
    407,280.96/610,804.80 = 140,972.40/x
  3. Step 3: Cross multiply
    407,280.96x = 610,804.80 × 140,972.40
  4. Step 4: Simplify right side
    407,280.96x = 86,106,618,587.52
  5. Step 5: Solve for x
    x = 86,106,618,587.52/407,280.96
  6. Step 6: Final answer
    x = 211,418.23

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1.5x scale

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.