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Finding the Fourth Proportional to 290,397.64, 435,612.84 and 103,409.16

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Solution

The fourth proportional to 290,397.64, 435,612.84 and 103,409.16 is: 155,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,397.64 : 435,612.84 = 103,409.16 : x
  2. Step 2: Convert to fraction form
    290,397.64/435,612.84 = 103,409.16/x
  3. Step 3: Cross multiply
    290,397.64x = 435,612.84 × 103,409.16
  4. Step 4: Simplify right side
    290,397.64x = 45,046,357,869.61
  5. Step 5: Solve for x
    x = 45,046,357,869.61/290,397.64
  6. Step 6: Final answer
    x = 155,119.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.