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Finding the Fourth Proportional to 709,385.15, 978,514.59 and 505,501.95

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Solution

The fourth proportional to 709,385.15, 978,514.59 and 505,501.95 is: 697,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,385.15 : 978,514.59 = 505,501.95 : x
  2. Step 2: Convert to fraction form
    709,385.15/978,514.59 = 505,501.95/x
  3. Step 3: Cross multiply
    709,385.15x = 978,514.59 × 505,501.95
  4. Step 4: Simplify right side
    709,385.15x = 494,641,025,928.37
  5. Step 5: Solve for x
    x = 494,641,025,928.37/709,385.15
  6. Step 6: Final answer
    x = 697,281.34

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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.