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Finding the Fourth Proportional to 205,070.20, 307,605.30 and 201,614.20

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Solution

The fourth proportional to 205,070.20, 307,605.30 and 201,614.20 is: 302,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,070.20 : 307,605.30 = 201,614.20 : x
  2. Step 2: Convert to fraction form
    205,070.20/307,605.30 = 201,614.20/x
  3. Step 3: Cross multiply
    205,070.20x = 307,605.30 × 201,614.20
  4. Step 4: Simplify right side
    205,070.20x = 62,017,596,475.26
  5. Step 5: Solve for x
    x = 62,017,596,475.26/205,070.20
  6. Step 6: Final answer
    x = 302,421.30

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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.