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Finding the Fourth Proportional to 384,303.22, 577,329.63 and 278,015.02

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Solution

The fourth proportional to 384,303.22, 577,329.63 and 278,015.02 is: 417,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,303.22 : 577,329.63 = 278,015.02 : x
  2. Step 2: Convert to fraction form
    384,303.22/577,329.63 = 278,015.02/x
  3. Step 3: Cross multiply
    384,303.22x = 577,329.63 × 278,015.02
  4. Step 4: Simplify right side
    384,303.22x = 160,506,308,631.04
  5. Step 5: Solve for x
    x = 160,506,308,631.04/384,303.22
  6. Step 6: Final answer
    x = 417,655.38

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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.