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Finding the Fourth Proportional to 525,528, 725,228.64 and 287,064

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Solution

The fourth proportional to 525,528, 725,228.64 and 287,064 is: 396,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,528 : 725,228.64 = 287,064 : x
  2. Step 2: Convert to fraction form
    525,528/725,228.64 = 287,064/x
  3. Step 3: Cross multiply
    525,528x = 725,228.64 × 287,064
  4. Step 4: Simplify right side
    525,528x = 208,187,034,312.96
  5. Step 5: Solve for x
    x = 208,187,034,312.96/525,528
  6. Step 6: Final answer
    x = 396,148.32

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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.