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Finding the Fourth Proportional to 411,931.40, 617,897.10 and 201,979.40

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Solution

The fourth proportional to 411,931.40, 617,897.10 and 201,979.40 is: 302,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,931.40 : 617,897.10 = 201,979.40 : x
  2. Step 2: Convert to fraction form
    411,931.40/617,897.10 = 201,979.40/x
  3. Step 3: Cross multiply
    411,931.40x = 617,897.10 × 201,979.40
  4. Step 4: Simplify right side
    411,931.40x = 124,802,485,519.74
  5. Step 5: Solve for x
    x = 124,802,485,519.74/411,931.40
  6. Step 6: Final answer
    x = 302,969.10

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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.