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Finding the Fourth Proportional to 528,238.04, 728,964.24 and 286,520

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Solution

The fourth proportional to 528,238.04, 728,964.24 and 286,520 is: 395,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,238.04 : 728,964.24 = 286,520 : x
  2. Step 2: Convert to fraction form
    528,238.04/728,964.24 = 286,520/x
  3. Step 3: Cross multiply
    528,238.04x = 728,964.24 × 286,520
  4. Step 4: Simplify right side
    528,238.04x = 208,862,834,044.80
  5. Step 5: Solve for x
    x = 208,862,834,044.80/528,238.04
  6. Step 6: Final answer
    x = 395,395.29

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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.