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Finding the Fourth Proportional to 258,705.90, 357,010.34 and 145,528.65

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Solution

The fourth proportional to 258,705.90, 357,010.34 and 145,528.65 is: 200,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,705.90 : 357,010.34 = 145,528.65 : x
  2. Step 2: Convert to fraction form
    258,705.90/357,010.34 = 145,528.65/x
  3. Step 3: Cross multiply
    258,705.90x = 357,010.34 × 145,528.65
  4. Step 4: Simplify right side
    258,705.90x = 51,955,232,088.60
  5. Step 5: Solve for x
    x = 51,955,232,088.60/258,705.90
  6. Step 6: Final answer
    x = 200,827.40

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1.5x scale

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.