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Finding the Fourth Proportional to 442,130.40, 661,784.40 and 348,818.40

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Solution

The fourth proportional to 442,130.40, 661,784.40 and 348,818.40 is: 522,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,130.40 : 661,784.40 = 348,818.40 : x
  2. Step 2: Convert to fraction form
    442,130.40/661,784.40 = 348,818.40/x
  3. Step 3: Cross multiply
    442,130.40x = 661,784.40 × 348,818.40
  4. Step 4: Simplify right side
    442,130.40x = 230,842,575,552.96
  5. Step 5: Solve for x
    x = 230,842,575,552.96/442,130.40
  6. Step 6: Final answer
    x = 522,114.23

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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.