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Finding the Fourth Proportional to 525,065.40, 787,079.70 and 258,607.80

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Solution

The fourth proportional to 525,065.40, 787,079.70 and 258,607.80 is: 387,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,065.40 : 787,079.70 = 258,607.80 : x
  2. Step 2: Convert to fraction form
    525,065.40/787,079.70 = 258,607.80/x
  3. Step 3: Cross multiply
    525,065.40x = 787,079.70 × 258,607.80
  4. Step 4: Simplify right side
    525,065.40x = 203,544,949,641.66
  5. Step 5: Solve for x
    x = 203,544,949,641.66/525,065.40
  6. Step 6: Final answer
    x = 387,656.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.