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Finding the Fourth Proportional to 405,605.65, 559,810.68 and 260,592.71

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Solution

The fourth proportional to 405,605.65, 559,810.68 and 260,592.71 is: 359,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,605.65 : 559,810.68 = 260,592.71 : x
  2. Step 2: Convert to fraction form
    405,605.65/559,810.68 = 260,592.71/x
  3. Step 3: Cross multiply
    405,605.65x = 559,810.68 × 260,592.71
  4. Step 4: Simplify right side
    405,605.65x = 145,882,582,188.14
  5. Step 5: Solve for x
    x = 145,882,582,188.14/405,605.65
  6. Step 6: Final answer
    x = 359,666.05

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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.