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Finding the Fourth Proportional to 411,465.80, 616,809.90 and 243,115.40

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Solution

The fourth proportional to 411,465.80, 616,809.90 and 243,115.40 is: 364,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,465.80 : 616,809.90 = 243,115.40 : x
  2. Step 2: Convert to fraction form
    411,465.80/616,809.90 = 243,115.40/x
  3. Step 3: Cross multiply
    411,465.80x = 616,809.90 × 243,115.40
  4. Step 4: Simplify right side
    411,465.80x = 149,955,985,562.46
  5. Step 5: Solve for x
    x = 149,955,985,562.46/411,465.80
  6. Step 6: Final answer
    x = 364,443.38

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1.5x scale

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.