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Finding the Fourth Proportional to 406,140, 560,395.40 and 262,880.16

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Solution

The fourth proportional to 406,140, 560,395.40 and 262,880.16 is: 362,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,140 : 560,395.40 = 262,880.16 : x
  2. Step 2: Convert to fraction form
    406,140/560,395.40 = 262,880.16/x
  3. Step 3: Cross multiply
    406,140x = 560,395.40 × 262,880.16
  4. Step 4: Simplify right side
    406,140x = 147,316,832,415.26
  5. Step 5: Solve for x
    x = 147,316,832,415.26/406,140
  6. Step 6: Final answer
    x = 362,724.26

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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.