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Finding the Fourth Proportional to 406,977.20, 610,465.80 and 265,259.60

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Solution

The fourth proportional to 406,977.20, 610,465.80 and 265,259.60 is: 397,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,977.20 : 610,465.80 = 265,259.60 : x
  2. Step 2: Convert to fraction form
    406,977.20/610,465.80 = 265,259.60/x
  3. Step 3: Cross multiply
    406,977.20x = 610,465.80 × 265,259.60
  4. Step 4: Simplify right side
    406,977.20x = 161,931,913,921.68
  5. Step 5: Solve for x
    x = 161,931,913,921.68/406,977.20
  6. Step 6: Final answer
    x = 397,889.40

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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.