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Finding the Fourth Proportional to 424,140, 585,328.56 and 242,884.32

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Solution

The fourth proportional to 424,140, 585,328.56 and 242,884.32 is: 335,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,140 : 585,328.56 = 242,884.32 : x
  2. Step 2: Convert to fraction form
    424,140/585,328.56 = 242,884.32/x
  3. Step 3: Cross multiply
    424,140x = 585,328.56 × 242,884.32
  4. Step 4: Simplify right side
    424,140x = 142,167,129,272.18
  5. Step 5: Solve for x
    x = 142,167,129,272.18/424,140
  6. Step 6: Final answer
    x = 335,189.16

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1.5x scale

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.