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Finding the Fourth Proportional to 384,303.48, 577,330 and 278,015.28

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Solution

The fourth proportional to 384,303.48, 577,330 and 278,015.28 is: 417,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,303.48 : 577,330 = 278,015.28 : x
  2. Step 2: Convert to fraction form
    384,303.48/577,330 = 278,015.28/x
  3. Step 3: Cross multiply
    384,303.48x = 577,330 × 278,015.28
  4. Step 4: Simplify right side
    384,303.48x = 160,506,561,602.40
  5. Step 5: Solve for x
    x = 160,506,561,602.40/384,303.48
  6. Step 6: Final answer
    x = 417,655.76

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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.