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Finding the Fourth Proportional to 297,271.32, 409,668.10 and 291,805.74

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Solution

The fourth proportional to 297,271.32, 409,668.10 and 291,805.74 is: 402,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,271.32 : 409,668.10 = 291,805.74 : x
  2. Step 2: Convert to fraction form
    297,271.32/409,668.10 = 291,805.74/x
  3. Step 3: Cross multiply
    297,271.32x = 409,668.10 × 291,805.74
  4. Step 4: Simplify right side
    297,271.32x = 119,543,502,345.38
  5. Step 5: Solve for x
    x = 119,543,502,345.38/297,271.32
  6. Step 6: Final answer
    x = 402,136.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.