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Finding the Fourth Proportional to 528,102.72, 728,782.14 and 286,385.22

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Solution

The fourth proportional to 528,102.72, 728,782.14 and 286,385.22 is: 395,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,102.72 : 728,782.14 = 286,385.22 : x
  2. Step 2: Convert to fraction form
    528,102.72/728,782.14 = 286,385.22/x
  3. Step 3: Cross multiply
    528,102.72x = 728,782.14 × 286,385.22
  4. Step 4: Simplify right side
    528,102.72x = 208,712,433,495.97
  5. Step 5: Solve for x
    x = 208,712,433,495.97/528,102.72
  6. Step 6: Final answer
    x = 395,211.81

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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.