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Finding the Fourth Proportional to 513,033.66, 707,984.28 and 286,679.16

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Solution

The fourth proportional to 513,033.66, 707,984.28 and 286,679.16 is: 395,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,033.66 : 707,984.28 = 286,679.16 : x
  2. Step 2: Convert to fraction form
    513,033.66/707,984.28 = 286,679.16/x
  3. Step 3: Cross multiply
    513,033.66x = 707,984.28 × 286,679.16
  4. Step 4: Simplify right side
    513,033.66x = 202,964,338,683.61
  5. Step 5: Solve for x
    x = 202,964,338,683.61/513,033.66
  6. Step 6: Final answer
    x = 395,616.03

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1.5x scale

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.