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Finding the Fourth Proportional to 580,145.49, 869,377.05 and 411,995.16

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Solution

The fourth proportional to 580,145.49, 869,377.05 and 411,995.16 is: 617,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,145.49 : 869,377.05 = 411,995.16 : x
  2. Step 2: Convert to fraction form
    580,145.49/869,377.05 = 411,995.16/x
  3. Step 3: Cross multiply
    580,145.49x = 869,377.05 × 411,995.16
  4. Step 4: Simplify right side
    580,145.49x = 358,179,136,815.08
  5. Step 5: Solve for x
    x = 358,179,136,815.08/580,145.49
  6. Step 6: Final answer
    x = 617,395.37

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Double scale
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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.