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Finding the Fourth Proportional to 398,259.80, 596,405.55 and 264,415.40

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Solution

The fourth proportional to 398,259.80, 596,405.55 and 264,415.40 is: 395,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,259.80 : 596,405.55 = 264,415.40 : x
  2. Step 2: Convert to fraction form
    398,259.80/596,405.55 = 264,415.40/x
  3. Step 3: Cross multiply
    398,259.80x = 596,405.55 × 264,415.40
  4. Step 4: Simplify right side
    398,259.80x = 157,698,812,065.47
  5. Step 5: Solve for x
    x = 157,698,812,065.47/398,259.80
  6. Step 6: Final answer
    x = 395,969.70

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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.