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Finding the Fourth Proportional to 406,136, 560,389.88 and 262,876.16

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Solution

The fourth proportional to 406,136, 560,389.88 and 262,876.16 is: 362,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,136 : 560,389.88 = 262,876.16 : x
  2. Step 2: Convert to fraction form
    406,136/560,389.88 = 262,876.16/x
  3. Step 3: Cross multiply
    406,136x = 560,389.88 × 262,876.16
  4. Step 4: Simplify right side
    406,136x = 147,313,139,757.26
  5. Step 5: Solve for x
    x = 147,313,139,757.26/406,136
  6. Step 6: Final answer
    x = 362,718.74

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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.