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Finding the Fourth Proportional to 291,966.60, 438,095.70 and 165,703.80

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Solution

The fourth proportional to 291,966.60, 438,095.70 and 165,703.80 is: 248,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,966.60 : 438,095.70 = 165,703.80 : x
  2. Step 2: Convert to fraction form
    291,966.60/438,095.70 = 165,703.80/x
  3. Step 3: Cross multiply
    291,966.60x = 438,095.70 × 165,703.80
  4. Step 4: Simplify right side
    291,966.60x = 72,594,122,253.66
  5. Step 5: Solve for x
    x = 72,594,122,253.66/291,966.60
  6. Step 6: Final answer
    x = 248,638.45

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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.