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Finding the Fourth Proportional to 291,500.40, 402,284.16 and 176,782.80

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Solution

The fourth proportional to 291,500.40, 402,284.16 and 176,782.80 is: 243,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,500.40 : 402,284.16 = 176,782.80 : x
  2. Step 2: Convert to fraction form
    291,500.40/402,284.16 = 176,782.80/x
  3. Step 3: Cross multiply
    291,500.40x = 402,284.16 × 176,782.80
  4. Step 4: Simplify right side
    291,500.40x = 71,116,920,200.45
  5. Step 5: Solve for x
    x = 71,116,920,200.45/291,500.40
  6. Step 6: Final answer
    x = 243,968.52

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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.