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Finding the Fourth Proportional to 525,424, 725,085.12 and 286,960

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Solution

The fourth proportional to 525,424, 725,085.12 and 286,960 is: 396,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,424 : 725,085.12 = 286,960 : x
  2. Step 2: Convert to fraction form
    525,424/725,085.12 = 286,960/x
  3. Step 3: Cross multiply
    525,424x = 725,085.12 × 286,960
  4. Step 4: Simplify right side
    525,424x = 208,070,426,035.20
  5. Step 5: Solve for x
    x = 208,070,426,035.20/525,424
  6. Step 6: Final answer
    x = 396,004.80

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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.