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Finding the Fourth Proportional to 525,121, 724,666.98 and 286,657

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Solution

The fourth proportional to 525,121, 724,666.98 and 286,657 is: 395,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,121 : 724,666.98 = 286,657 : x
  2. Step 2: Convert to fraction form
    525,121/724,666.98 = 286,657/x
  3. Step 3: Cross multiply
    525,121x = 724,666.98 × 286,657
  4. Step 4: Simplify right side
    525,121x = 207,730,862,485.86
  5. Step 5: Solve for x
    x = 207,730,862,485.86/525,121
  6. Step 6: Final answer
    x = 395,586.66

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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.