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Finding the Fourth Proportional to 290,457.60, 435,686.40 and 103,475.20

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Solution

The fourth proportional to 290,457.60, 435,686.40 and 103,475.20 is: 155,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,457.60 : 435,686.40 = 103,475.20 : x
  2. Step 2: Convert to fraction form
    290,457.60/435,686.40 = 103,475.20/x
  3. Step 3: Cross multiply
    290,457.60x = 435,686.40 × 103,475.20
  4. Step 4: Simplify right side
    290,457.60x = 45,082,737,377.28
  5. Step 5: Solve for x
    x = 45,082,737,377.28/290,457.60
  6. Step 6: Final answer
    x = 155,212.80

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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.