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Finding the Fourth Proportional to 290,461.84, 435,561.54 and 103,478.20

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Solution

The fourth proportional to 290,461.84, 435,561.54 and 103,478.20 is: 155,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,461.84 : 435,561.54 = 103,478.20 : x
  2. Step 2: Convert to fraction form
    290,461.84/435,561.54 = 103,478.20/x
  3. Step 3: Cross multiply
    290,461.84x = 435,561.54 × 103,478.20
  4. Step 4: Simplify right side
    290,461.84x = 45,071,122,671.48
  5. Step 5: Solve for x
    x = 45,071,122,671.48/290,461.84
  6. Step 6: Final answer
    x = 155,170.55

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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.