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Finding the Fourth Proportional to 505,159.12, 697,118.16 and 278,803

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Solution

The fourth proportional to 505,159.12, 697,118.16 and 278,803 is: 384,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,159.12 : 697,118.16 = 278,803 : x
  2. Step 2: Convert to fraction form
    505,159.12/697,118.16 = 278,803/x
  3. Step 3: Cross multiply
    505,159.12x = 697,118.16 × 278,803
  4. Step 4: Simplify right side
    505,159.12x = 194,358,634,362.48
  5. Step 5: Solve for x
    x = 194,358,634,362.48/505,159.12
  6. Step 6: Final answer
    x = 384,747.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.