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Finding the Fourth Proportional to 386,415.60, 578,845.80 and 260,444.40

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Solution

The fourth proportional to 386,415.60, 578,845.80 and 260,444.40 is: 390,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,415.60 : 578,845.80 = 260,444.40 : x
  2. Step 2: Convert to fraction form
    386,415.60/578,845.80 = 260,444.40/x
  3. Step 3: Cross multiply
    386,415.60x = 578,845.80 × 260,444.40
  4. Step 4: Simplify right side
    386,415.60x = 150,757,147,073.52
  5. Step 5: Solve for x
    x = 150,757,147,073.52/386,415.60
  6. Step 6: Final answer
    x = 390,142.50

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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.