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Finding the Fourth Proportional to 258,897.72, 357,389.40 and 174,064

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Solution

The fourth proportional to 258,897.72, 357,389.40 and 174,064 is: 240,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,897.72 : 357,389.40 = 174,064 : x
  2. Step 2: Convert to fraction form
    258,897.72/357,389.40 = 174,064/x
  3. Step 3: Cross multiply
    258,897.72x = 357,389.40 × 174,064
  4. Step 4: Simplify right side
    258,897.72x = 62,208,628,521.60
  5. Step 5: Solve for x
    x = 62,208,628,521.60/258,897.72
  6. Step 6: Final answer
    x = 240,282.64

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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.