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Finding the Fourth Proportional to 528,643, 729,195.42 and 313,630.84

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Solution

The fourth proportional to 528,643, 729,195.42 and 313,630.84 is: 432,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,643 : 729,195.42 = 313,630.84 : x
  2. Step 2: Convert to fraction form
    528,643/729,195.42 = 313,630.84/x
  3. Step 3: Cross multiply
    528,643x = 729,195.42 × 313,630.84
  4. Step 4: Simplify right side
    528,643x = 228,698,172,098.75
  5. Step 5: Solve for x
    x = 228,698,172,098.75/528,643
  6. Step 6: Final answer
    x = 432,613.64

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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.